6516160 has 56 divisors (see below), whose sum is σ = 17739360. Its totient is φ = 2233344.

The previous prime is 6516149. The next prime is 6516161. The reversal of 6516160 is 616156.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×6516160² = 84920682291200, which contains 22 as substring.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6516161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786 + ... + 3694.

Almost surely, 2^6516160 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 6516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869680).

6516160 is an abundant number, since it is smaller than the sum of its proper divisors (11223200).

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

6516160 is a wasteful number, since it uses less digits than its factorization.

6516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 6516160 is about 2552.6770261825. The cubic root of 6516160 is about 186.7800897976.

The spelling of 6516160 in words is "six million, five hundred sixteen thousand, one hundred sixty".