56920320 has 252 divisors, whose sum is σ = 207770556. Its totient is φ = 14929920.

The previous prime is 56920313. The next prime is 56920327. The reversal of 56920320 is 2302965.

It is an interprime number because it is at equal distance from previous prime (56920313) and next prime (56920327).

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 47775744 = 3024^2 + 6912^2 .

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 (56920327) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933090 + ... + 933150.

Almost surely, 2^56920320 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 56920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103885278).

56920320 is an abundant number, since it is smaller than the sum of its proper divisors (150850236).

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

56920320 is an frugal number, since it uses more digits than its factorization.

56920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56920320 is about 7544.5556529195. Note that the first 3 decimals coincide. The cubic root of 56920320 is about 384.6707028536.

The spelling of 56920320 in words is "fifty-six million, nine hundred twenty thousand, three hundred twenty".