56416960 has 28 divisors (see below), whose sum is σ = 134343648. Its totient is φ = 22566656.

The previous prime is 56416957. The next prime is 56416961. The reversal of 56416960 is 6961465.

56416960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56416961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87832 + ... + 88471.

Almost surely, 2^56416960 is an apocalyptic number.

It is an amenable number.

56416960 is an abundant number, since it is smaller than the sum of its proper divisors (77926688).

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

56416960 is a wasteful number, since it uses less digits than its factorization.

56416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176320 (or 176310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 56416960 is about 7511.1224194524. The cubic root of 56416960 is about 383.5334321828.

The spelling of 56416960 in words is "fifty-six million, four hundred sixteen thousand, nine hundred sixty".