56379960 has 192 divisors, whose sum is σ = 225650880. Its totient is φ = 11888640.

The previous prime is 56379941. The next prime is 56379997. The reversal of 56379960 is 6997365.

56379960 is a `hidden beast` number, since 5 + 637 + 9 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31900 + ... + 33620.

It is an arithmetic number, because the mean of its divisors is an integer number (1175265).

Almost surely, 2^56379960 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 56379960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

56379960 is an abundant number, since it is smaller than the sum of its proper divisors (169270920).

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

56379960 is a wasteful number, since it uses less digits than its factorization.

56379960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 56379960 is about 7508.6590014463. The cubic root of 56379960 is about 383.4495694557.

The spelling of 56379960 in words is "fifty-six million, three hundred seventy-nine thousand, nine hundred sixty".