56864320 has 56 divisors (see below), whose sum is σ = 143387064. Its totient is φ = 21405696.

The previous prime is 56864309. The next prime is 56864333. The reversal of 56864320 is 2346865.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 27962944 = 5376^2 + 5288^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 214 + ... + 10666.

Almost surely, 2^56864320 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 56864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71693532).

56864320 is an abundant number, since it is smaller than the sum of its proper divisors (86522744).

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

56864320 is a wasteful number, since it uses less digits than its factorization.

56864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10487 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 56864320 is about 7540.8434541502. The cubic root of 56864320 is about 384.5445110844.

The spelling of 56864320 in words is "fifty-six million, eight hundred sixty-four thousand, three hundred twenty".