56064624 has 180 divisors, whose sum is σ = 186128712. Its totient is φ = 14488320.

The previous prime is 56064601. The next prime is 56064637. The reversal of 56064624 is 42646065.

It is a super-2 number, since 2×56064624² = 6286484128522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 284494 + ... + 284690.

Almost surely, 2^56064624 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 56064624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93064356).

56064624 is an abundant number, since it is smaller than the sum of its proper divisors (130064088).

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

56064624 is a wasteful number, since it uses less digits than its factorization.

56064624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 56064624 is about 7487.6314011842. The cubic root of 56064624 is about 382.7333481524.

The spelling of 56064624 in words is "fifty-six million, sixty-four thousand, six hundred twenty-four".