56556320 has 48 divisors (see below), whose sum is σ = 134628480. Its totient is φ = 22450944.

The previous prime is 56556319. The next prime is 56556329. The reversal of 56556320 is 2365565.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56556329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20969 + ... + 23511.

It is an arithmetic number, because the mean of its divisors is an integer number (2804760).

Almost surely, 2^56556320 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 56556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67314240).

56556320 is an abundant number, since it is smaller than the sum of its proper divisors (78072160).

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

56556320 is a wasteful number, since it uses less digits than its factorization.

56556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 56556320 is about 7520.3936067203. The cubic root of 56556320 is about 383.8489712789.

The spelling of 56556320 in words is "fifty-six million, five hundred fifty-six thousand, three hundred twenty".