320864256 has 132 divisors (see below), whose sum is σ = 981466902. Its totient is φ = 100663296.

The previous prime is 320864251. The next prime is 320864303. The reversal of 320864256 is 652468023.

320864256 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 642 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 235929600 + 84934656 = 15360^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320864256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320864251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18874360 + ... + 18874376.

Almost surely, 2^320864256 is an apocalyptic number.

320864256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490733451).

320864256 is an abundant number, since it is smaller than the sum of its proper divisors (660602646).

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

320864256 is an frugal number, since it uses more digits than its factorization.

320864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 320864256 is about 17912.6842209648. The cubic root of 320864256 is about 684.6055988786.

The spelling of 320864256 in words is "three hundred twenty million, eight hundred sixty-four thousand, two hundred fifty-six".