516160656 has 120 divisors (see below), whose sum is σ = 1618628544. Its totient is φ = 152167680.

The previous prime is 516160651. The next prime is 516160657. The reversal of 516160656 is 656061615.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 516160656.

It is not an unprimeable number, because it can be changed into a prime (516160651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54205 + ... + 63011.

Almost surely, 2^516160656 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 516160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809314272).

516160656 is an abundant number, since it is smaller than the sum of its proper divisors (1102467888).

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

516160656 is a wasteful number, since it uses less digits than its factorization.

516160656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 516160656 is about 22719.1693510128. The cubic root of 516160656 is about 802.1611647845.

The spelling of 516160656 in words is "five hundred sixteen million, one hundred sixty thousand, six hundred fifty-six".