320384640 has 64 divisors (see below), whose sum is σ = 1021232160. Its totient is φ = 85435392.

The previous prime is 320384639. The next prime is 320384651. The reversal of 320384640 is 46483023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320384598 and 320384607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81514 + ... + 85353.

Almost surely, 2^320384640 is an apocalyptic number.

320384640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320384640 is an abundant number, since it is smaller than the sum of its proper divisors (700847520).

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

320384640 is a wasteful number, since it uses less digits than its factorization.

320384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166889 (or 166877 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 320384640 is about 17899.2916060944. The cubic root of 320384640 is about 684.2643210854.

The spelling of 320384640 in words is "three hundred twenty million, three hundred eighty-four thousand, six hundred forty".