331585968 has 80 divisors (see below), whose sum is σ = 982000640. Its totient is φ = 94445568.

The previous prime is 331585949. The next prime is 331585979. The reversal of 331585968 is 869585133.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121968 + ... + 124656.

It is an arithmetic number, because the mean of its divisors is an integer number (12275008).

Almost surely, 2^331585968 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 331585968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491000320).

331585968 is an abundant number, since it is smaller than the sum of its proper divisors (650414672).

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

331585968 is a wasteful number, since it uses less digits than its factorization.

331585968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 331585968 is about 18209.5021348745. The cubic root of 331585968 is about 692.1475956794.

The spelling of 331585968 in words is "three hundred thirty-one million, five hundred eighty-five thousand, nine hundred sixty-eight".