56507976 has 192 divisors, whose sum is σ = 192888000. Its totient is φ = 15240960.

The previous prime is 56507953. The next prime is 56507999. The reversal of 56507976 is 67970565.

It is a happy number.

56507976 is a `hidden beast` number, since 56 + 507 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56507953) and next prime (56507999).

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, 200956 + ... + 201236.

It is an arithmetic number, because the mean of its divisors is an integer number (1004625).

Almost surely, 2^56507976 is an apocalyptic number.

56507976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56507976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96444000).

56507976 is an abundant number, since it is smaller than the sum of its proper divisors (136380024).

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

56507976 is a wasteful number, since it uses less digits than its factorization.

56507976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56507976 is about 7517.1787260913. The cubic root of 56507976 is about 383.7395695086.

The spelling of 56507976 in words is "fifty-six million, five hundred seven thousand, nine hundred seventy-six".