56641640 has 128 divisors (see below), whose sum is σ = 150854400. Its totient is φ = 18923520.

The previous prime is 56641639. The next prime is 56641643. The reversal of 56641640 is 4614665.

It is a junction number, because it is equal to n+sod(n) for n = 56641597 and 56641606.

It is not an unprimeable number, because it can be changed into a prime (56641643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293384 + ... + 293576.

It is an arithmetic number, because the mean of its divisors is an integer number (1178550).

Almost surely, 2^56641640 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 56641640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75427200).

56641640 is an abundant number, since it is smaller than the sum of its proper divisors (94212760).

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

56641640 is a wasteful number, since it uses less digits than its factorization.

56641640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 56641640 is about 7526.0640443727. The cubic root of 56641640 is about 384.0418971936.

The spelling of 56641640 in words is "fifty-six million, six hundred forty-one thousand, six hundred forty".