56620080 has 160 divisors (see below), whose sum is σ = 212843520. Its totient is φ = 13720320.

The previous prime is 56620079. The next prime is 56620087. The reversal of 56620080 is 8002665.

56620080 is a `hidden beast` number, since 566 + 20 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56620087) 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, 22569 + ... + 24951.

It is an arithmetic number, because the mean of its divisors is an integer number (1330272).

Almost surely, 2^56620080 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 56620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106421760).

56620080 is an abundant number, since it is smaller than the sum of its proper divisors (156223440).

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

56620080 is a wasteful number, since it uses less digits than its factorization.

56620080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56620080 is about 7524.6315524416. The cubic root of 56620080 is about 383.9931639408.

The spelling of 56620080 in words is "fifty-six million, six hundred twenty thousand, eighty".