56611968 has 64 divisors (see below), whose sum is σ = 171865920. Its totient is φ = 16174080.

The previous prime is 56611957. The next prime is 56611969. The reversal of 56611968 is 86911665.

It is a happy number.

56611968 is digitally balanced in base 2, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (56611969) 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 7 ways as a sum of consecutive naturals, for example, 7843 + ... + 13218.

It is an arithmetic number, because the mean of its divisors is an integer number (2685405).

Almost surely, 2^56611968 is an apocalyptic number.

It is an amenable number.

56611968 is an abundant number, since it is smaller than the sum of its proper divisors (115253952).

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

56611968 is a wasteful number, since it uses less digits than its factorization.

56611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21085 (or 21073 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 56611968 is about 7524.0925034186. The cubic root of 56611968 is about 383.9748247384.

The spelling of 56611968 in words is "fifty-six million, six hundred eleven thousand, nine hundred sixty-eight".