56323584 has 120 divisors (see below), whose sum is σ = 172355040. Its totient is φ = 17645568.

The previous prime is 56323537. The next prime is 56323633. The reversal of 56323584 is 48532365.

It is a happy number.

56323584 is a `hidden beast` number, since 56 + 3 + 23 + 584 = 666.

It is a super-2 number, since 2×56323584² = 6344692229210112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77977 + ... + 78695.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^56323584 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 56323584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

56323584 is an abundant number, since it is smaller than the sum of its proper divisors (116031456).

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

56323584 is a wasteful number, since it uses less digits than its factorization.

56323584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 741 counting only the distinct ones).

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

The square root of 56323584 is about 7504.9039967211. The cubic root of 56323584 is about 383.3217192869.

It can be divided in two parts, 5632 and 3584, that added together give a square (9216 = 96²).

The spelling of 56323584 in words is "fifty-six million, three hundred twenty-three thousand, five hundred eighty-four".