56644624 has 40 divisors (see below), whose sum is σ = 116064000. Its totient is φ = 26706816.

The previous prime is 56644613. The next prime is 56644639. The reversal of 56644624 is 42644665.

It is a super-2 number, since 2×56644624² = 6417226856202752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118017 + ... + 118495.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^56644624 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 56644624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

56644624 is an abundant number, since it is smaller than the sum of its proper divisors (59419376).

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

56644624 is a wasteful number, since it uses less digits than its factorization.

56644624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 56644624 is about 7526.2622861551. The cubic root of 56644624 is about 384.0486411185.

It can be divided in two parts, 56 and 644624, that added together give a triangular number (644680 = T₁₁₃₅).

The spelling of 56644624 in words is "fifty-six million, six hundred forty-four thousand, six hundred twenty-four".