56468664 has 160 divisors (see below), whose sum is σ = 184694400. Its totient is φ = 15785280.

The previous prime is 56468653. The next prime is 56468677. The reversal of 56468664 is 46686465.

56468664 is a `hidden beast` number, since 564 + 6 + 86 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267519 + ... + 267729.

It is an arithmetic number, because the mean of its divisors is an integer number (1154340).

Almost surely, 2^56468664 is an apocalyptic number.

56468664 is a gapful number since it is divisible by the number (54) 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 56468664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92347200).

56468664 is an abundant number, since it is smaller than the sum of its proper divisors (128225736).

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

56468664 is a wasteful number, since it uses less digits than its factorization.

56468664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 56468664 is about 7514.5634603748. The cubic root of 56468664 is about 383.6505610142.

The spelling of 56468664 in words is "fifty-six million, four hundred sixty-eight thousand, six hundred sixty-four".