56916160 has 56 divisors (see below), whose sum is σ = 154899360. Its totient is φ = 19513344.

The previous prime is 56916149. The next prime is 56916163. The reversal of 56916160 is 6161965.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56916163) 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, 10465 + ... + 14944.

It is an arithmetic number, because the mean of its divisors is an integer number (2766060).

Almost surely, 2^56916160 is an apocalyptic number.

It is an amenable number.

56916160 is an abundant number, since it is smaller than the sum of its proper divisors (97983200).

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

56916160 is a wasteful number, since it uses less digits than its factorization.

56916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25433 (or 25423 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 56916160 is about 7544.2799523878. The cubic root of 56916160 is about 384.6613314545.

The spelling of 56916160 in words is "fifty-six million, nine hundred sixteen thousand, one hundred sixty".