320959968 has 48 divisors (see below), whose sum is σ = 962881920. Its totient is φ = 91702656.

The previous prime is 320959943. The next prime is 320959981. The reversal of 320959968 is 869959023.

320959968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×320959968² = 206030602117122048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320959968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238138 + ... + 239481.

It is an arithmetic number, because the mean of its divisors is an integer number (20060040).

Almost surely, 2^320959968 is an apocalyptic number.

It is an amenable number.

320959968 is an abundant number, since it is smaller than the sum of its proper divisors (641921952).

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

320959968 is a wasteful number, since it uses less digits than its factorization.

320959968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477639 (or 477631 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 320959968 is about 17915.3556481584. The cubic root of 320959968 is about 684.6736634425.

The spelling of 320959968 in words is "three hundred twenty million, nine hundred fifty-nine thousand, nine hundred sixty-eight".