56764224 has 252 divisors, whose sum is σ = 194633088. Its totient is φ = 15667200.

The previous prime is 56764199. The next prime is 56764237. The reversal of 56764224 is 42246765.

56764224 is a `hidden beast` number, since 5 + 6 + 7 + 642 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1831089 + ... + 1831119.

Almost surely, 2^56764224 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 56764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97316544).

56764224 is an abundant number, since it is smaller than the sum of its proper divisors (137868864).

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

56764224 is a wasteful number, since it uses less digits than its factorization.

56764224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 56764224 is about 7534.2036075487. The cubic root of 56764224 is about 384.3187457631.

The spelling of 56764224 in words is "fifty-six million, seven hundred sixty-four thousand, two hundred twenty-four".