331811968 has 64 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 157803520.

The previous prime is 331811927. The next prime is 331811993. The reversal of 331811968 is 869118133.

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

It is a super-2 number, since 2×331811968² = 220198364216066048, which contains 22 as substring.

It is a cake number, because a cake can be divided into 331811968 parts by 1258 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 331811968.

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, 262923 + ... + 264181.

It is an arithmetic number, because the mean of its divisors is an integer number (10843875).

Almost surely, 2^331811968 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 331811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

331811968 is an abundant number, since it is smaller than the sum of its proper divisors (362196032).

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

331811968 is a wasteful number, since it uses less digits than its factorization.

331811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 331811968 is about 18215.7066291703. The cubic root of 331811968 is about 692.3048096417.

The spelling of 331811968 in words is "three hundred thirty-one million, eight hundred eleven thousand, nine hundred sixty-eight".