56005968 has 40 divisors (see below), whose sum is σ = 145053216. Its totient is φ = 18620800.

The previous prime is 56005951. The next prime is 56005969. The reversal of 56005968 is 86950065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20863 + ... + 23393.

Almost surely, 2^56005968 is an apocalyptic number.

It is an amenable number.

56005968 is an abundant number, since it is smaller than the sum of its proper divisors (89047248).

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

56005968 is a wasteful number, since it uses less digits than its factorization.

56005968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 56005968 is about 7483.7135166974. The cubic root of 56005968 is about 382.5998269923.

The spelling of 56005968 in words is "fifty-six million, five thousand, nine hundred sixty-eight".