56979936 has 240 divisors, whose sum is σ = 192099600. Its totient is φ = 16422912.

The previous prime is 56979919. The next prime is 56979959. The reversal of 56979936 is 63997965.

56979936 = 135³ + 136³ + ... + 153³.

56979936 is a `hidden beast` number, since 569 + 79 + 9 + 3 + 6 = 666.

56979936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2755620) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 640180 + ... + 640268.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^56979936 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 56979936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96049800).

56979936 is an abundant number, since it is smaller than the sum of its proper divisors (135119664).

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

56979936 is a wasteful number, since it uses less digits than its factorization.

56979936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 56979936 is about 7548.5055474577. The cubic root of 56979936 is about 384.8049520818.

The spelling of 56979936 in words is "fifty-six million, nine hundred seventy-nine thousand, nine hundred thirty-six".