56631344 has 80 divisors (see below), whose sum is σ = 140110080. Its totient is φ = 21530880.

The previous prime is 56631307. The next prime is 56631347. The reversal of 56631344 is 44313665.

It is a self number, because there is not a number n which added to its sum of digits gives 56631344.

It is not an unprimeable number, because it can be changed into a prime (56631347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52442 + ... + 53510.

It is an arithmetic number, because the mean of its divisors is an integer number (1751376).

Almost surely, 2^56631344 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 56631344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70055040).

56631344 is an abundant number, since it is smaller than the sum of its proper divisors (83478736).

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

56631344 is a wasteful number, since it uses less digits than its factorization.

56631344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 56631344 is about 7525.3799904058. The cubic root of 56631344 is about 384.0186261220.

It can be divided in two parts, 5663 and 1344, that added together give a palindrome (7007).

The spelling of 56631344 in words is "fifty-six million, six hundred thirty-one thousand, three hundred forty-four".