6160 has 40 divisors (see below), whose sum is σ = 17856. Its totient is φ = 1920.

The previous prime is 6151. The next prime is 6163. The reversal of 6160 is 616.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 3.

It is a self number, because there is not a number *n* which added to its sum of digits gives 6160.

It is not an unprimeable number, because it can be changed into a prime (6163) by changing a digit.

6160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555 + ... + 565.

2^{6160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928).

6160 is an abundant number, since it is smaller than the sum of its proper divisors (11696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6160 is a wasteful number, since it uses less digits than its factorization.

6160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6160 is about 78.4856674814. The cubic root of 6160 is about 18.3313129087.

Adding to 6160 its reverse (616), we get a palindrome (6776).

It can be divided in two parts, 61 and 60, that added together give a palindrome (121).

The spelling of 6160 in words is "six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160

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