56644640 has 96 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 20643840.

The previous prime is 56644639. The next prime is 56644649. The reversal of 56644640 is 4644665.

It can be written as a sum of positive squares in 8 ways, for example, as 5779216 + 50865424 = 2404^2 + 7132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56644640.

It is not an unprimeable number, because it can be changed into a prime (56644649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234920 + ... + 235160.

Almost surely, 2^56644640 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 56644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

56644640 is an abundant number, since it is smaller than the sum of its proper divisors (89351056).

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

56644640 is a wasteful number, since it uses less digits than its factorization.

56644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 56644640 is about 7526.2633490996. The cubic root of 56644640 is about 384.0486772783.

The spelling of 56644640 in words is "fifty-six million, six hundred forty-four thousand, six hundred forty".