56659824 has 240 divisors, whose sum is σ = 189571200. Its totient is φ = 16236288.

The previous prime is 56659781. The next prime is 56659829. The reversal of 56659824 is 42895665.

56659824 is a `hidden beast` number, since 56 + 6 + 598 + 2 + 4 = 666.

Its product of digits (518400) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 56659824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56659829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960307 + ... + 960365.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^56659824 is an apocalyptic number.

56659824 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 56659824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94785600).

56659824 is an abundant number, since it is smaller than the sum of its proper divisors (132911376).

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

56659824 is a wasteful number, since it uses less digits than its factorization.

56659824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56659824 is about 7527.2720158102. The cubic root of 56659824 is about 384.0829898755.

The spelling of 56659824 in words is "fifty-six million, six hundred fifty-nine thousand, eight hundred twenty-four".