56579040 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 12925440.

The previous prime is 56579027. The next prime is 56579041. The reversal of 56579040 is 4097565.

56579040 is a `hidden beast` number, since 565 + 7 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56578986 and 56579004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56579041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29305 + ... + 31175.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^56579040 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 56579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

56579040 is an abundant number, since it is smaller than the sum of its proper divisors (169858080).

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

56579040 is a wasteful number, since it uses less digits than its factorization.

56579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56579040 is about 7521.9040142772. The cubic root of 56579040 is about 383.9003647752.

The spelling of 56579040 in words is "fifty-six million, five hundred seventy-nine thousand, forty".