56324736 has 96 divisors (see below), whose sum is σ = 174594420. Its totient is φ = 17326080.

The previous prime is 56324731. The next prime is 56324783. The reversal of 56324736 is 63742365.

56324736 is a `hidden beast` number, since 563 + 24 + 73 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53582400 + 2742336 = 7320^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56324736.

It is not an unprimeable number, because it can be changed into a prime (56324731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13096 + ... + 16856.

Almost surely, 2^56324736 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 56324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87297210).

56324736 is an abundant number, since it is smaller than the sum of its proper divisors (118269684).

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

56324736 is a wasteful number, since it uses less digits than its factorization.

56324736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3779 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 56324736 is about 7504.9807461445. The cubic root of 56324736 is about 383.3243326599.

The spelling of 56324736 in words is "fifty-six million, three hundred twenty-four thousand, seven hundred thirty-six".