56979240 has 192 divisors, whose sum is σ = 190978560. Its totient is φ = 13578240.

The previous prime is 56979203. The next prime is 56979269. The reversal of 56979240 is 4297965.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56979192 and 56979201.

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, 1075054 + ... + 1075106.

It is an arithmetic number, because the mean of its divisors is an integer number (994680).

Almost surely, 2^56979240 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 56979240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95489280).

56979240 is an abundant number, since it is smaller than the sum of its proper divisors (133999320).

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

56979240 is a wasteful number, since it uses less digits than its factorization.

56979240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 56979240 is about 7548.4594454763. The cubic root of 56979240 is about 384.8033853002.

The spelling of 56979240 in words is "fifty-six million, nine hundred seventy-nine thousand, two hundred forty".