56607824 has 80 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 21067776.

The previous prime is 56607809. The next prime is 56607871. The reversal of 56607824 is 42870665.

It is a happy number.

56607824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23609 + ... + 25895.

Almost surely, 2^56607824 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 56607824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

56607824 is an abundant number, since it is smaller than the sum of its proper divisors (86383024).

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

56607824 is a wasteful number, since it uses less digits than its factorization.

56607824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 56607824 is about 7523.8171163313. The cubic root of 56607824 is about 383.9654555152.

The spelling of 56607824 in words is "fifty-six million, six hundred seven thousand, eight hundred twenty-four".