56362640 has 40 divisors (see below), whose sum is σ = 132902208. Its totient is φ = 22225280.

The previous prime is 56362639. The next prime is 56362651. The reversal of 56362640 is 4626365.

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

It is a junction number, because it is equal to n+sod(n) for n = 56362597 and 56362606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 10641.

Almost surely, 2^56362640 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 56362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66451104).

56362640 is an abundant number, since it is smaller than the sum of its proper divisors (76539568).

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

56362640 is a wasteful number, since it uses less digits than its factorization.

56362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007 (or 10001 counting only the distinct ones).

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

The square root of 56362640 is about 7507.5055777535. The cubic root of 56362640 is about 383.4103000253.

The spelling of 56362640 in words is "fifty-six million, three hundred sixty-two thousand, six hundred forty".