56257968 has 80 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 17098752.

The previous prime is 56257951. The next prime is 56257979. The reversal of 56257968 is 86975265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (907200) is a multiple of the sum of its prime divisors (1120).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55030 + ... + 56042.

It is an arithmetic number, because the mean of its divisors is an integer number (1980342).

Almost surely, 2^56257968 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 56257968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

56257968 is an abundant number, since it is smaller than the sum of its proper divisors (102169392).

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

56257968 is a wasteful number, since it uses less digits than its factorization.

56257968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 56257968 is about 7500.5311811898. The cubic root of 56257968 is about 383.1728070568.

The spelling of 56257968 in words is "fifty-six million, two hundred fifty-seven thousand, nine hundred sixty-eight".