320624640 has 432 divisors, whose sum is σ = 1310858640. Its totient is φ = 72253440.

The previous prime is 320624593. The next prime is 320624657. The reversal of 320624640 is 46426023.

320624640 is a `hidden beast` number, since 32 + 0 + 624 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515805 + ... + 4515875.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 2^320624640 is an apocalyptic number.

320624640 is a gapful number since it is divisible by the number (30) 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 320624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655429320).

320624640 is an abundant number, since it is smaller than the sum of its proper divisors (990234000).

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

320624640 is a wasteful number, since it uses less digits than its factorization.

320624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 320624640 is about 17905.9945269734. The cubic root of 320624640 is about 684.4351391450.

The spelling of 320624640 in words is "three hundred twenty million, six hundred twenty-four thousand, six hundred forty".