56945760 has 192 divisors, whose sum is σ = 191600640. Its totient is φ = 14192640.

The previous prime is 56945747. The next prime is 56945773. The reversal of 56945760 is 6754965.

It is an interprime number because it is at equal distance from previous prime (56945747) and next prime (56945773).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639796 + ... + 639884.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^56945760 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 56945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

56945760 is an abundant number, since it is smaller than the sum of its proper divisors (134654880).

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

56945760 is a wasteful number, since it uses less digits than its factorization.

56945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 56945760 is about 7546.2414485623. The cubic root of 56945760 is about 384.7280026317.

The spelling of 56945760 in words is "fifty-six million, nine hundred forty-five thousand, seven hundred sixty".