56506968 has 96 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 16032960.

The previous prime is 56506951. The next prime is 56506973. The reversal of 56506968 is 86960565.

56506968 is a `hidden beast` number, since 56 + 506 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95971 + ... + 96557.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^56506968 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 56506968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

56506968 is an abundant number, since it is smaller than the sum of its proper divisors (119610792).

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

56506968 is a wasteful number, since it uses less digits than its factorization.

56506968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56506968 is about 7517.1116793620. Note that the first 3 decimals coincide. The cubic root of 56506968 is about 383.7372877552.

The spelling of 56506968 in words is "fifty-six million, five hundred six thousand, nine hundred sixty-eight".