56631744 has 112 divisors (see below), whose sum is σ = 179364640. Its totient is φ = 17418240.

The previous prime is 56631739. The next prime is 56631779. The reversal of 56631744 is 44713665.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 56631699 and 56631708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21204 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (1601470).

Almost surely, 2^56631744 is an apocalyptic number.

56631744 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 56631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89682320).

56631744 is an abundant number, since it is smaller than the sum of its proper divisors (122732896).

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

56631744 is a wasteful number, since it uses less digits than its factorization.

56631744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2539 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 56631744 is about 7525.4065670899. The cubic root of 56631744 is about 384.0195302567.

It can be divided in two parts, 56631 and 744, that added together give a palindrome (57375).

The spelling of 56631744 in words is "fifty-six million, six hundred thirty-one thousand, seven hundred forty-four".