56526624 has 144 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 14676480.

The previous prime is 56526619. The next prime is 56526643. The reversal of 56526624 is 42662565.

56526624 is a `hidden beast` number, since 5 + 6 + 5 + 26 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20902 + ... + 23450.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^56526624 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 56526624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

56526624 is an abundant number, since it is smaller than the sum of its proper divisors (143964576).

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

56526624 is a wasteful number, since it uses less digits than its factorization.

56526624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2572 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56526624 is about 7518.4189827383. The cubic root of 56526624 is about 383.7817770515.

The spelling of 56526624 in words is "fifty-six million, five hundred twenty-six thousand, six hundred twenty-four".