516956160 has 224 divisors, whose sum is σ = 1893612672. Its totient is φ = 117964800.

The previous prime is 516956159. The next prime is 516956173. The reversal of 516956160 is 61659615.

516956160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859860 + ... + 860460.

It is an arithmetic number, because the mean of its divisors is an integer number (8453628).

Almost surely, 2^516956160 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 516956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946806336).

516956160 is an abundant number, since it is smaller than the sum of its proper divisors (1376656512).

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

516956160 is an equidigital number, since it uses as much as digits as its factorization.

516956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 516956160 is about 22736.6699408686. The cubic root of 516956160 is about 802.5730487362.

The spelling of 516956160 in words is "five hundred sixteen million, nine hundred fifty-six thousand, one hundred sixty".