56631440 has 40 divisors (see below), whose sum is σ = 132041400. Its totient is φ = 22588416.

The previous prime is 56631433. The next prime is 56631469. The reversal of 56631440 is 4413665.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10445824 + 46185616 = 3232^2 + 6796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35786 + ... + 37334.

It is an arithmetic number, because the mean of its divisors is an integer number (3301035).

Almost surely, 2^56631440 is an apocalyptic number.

It is an amenable number.

56631440 is an abundant number, since it is smaller than the sum of its proper divisors (75409960).

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

56631440 is a wasteful number, since it uses less digits than its factorization.

56631440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 56631440 is about 7525.3863688185. The cubic root of 56631440 is about 384.0188431147.

The spelling of 56631440 in words is "fifty-six million, six hundred thirty-one thousand, four hundred forty".