331696000 has 64 divisors (see below), whose sum is σ = 824718960. Its totient is φ = 132672000.

The previous prime is 331695961. The next prime is 331696003. The reversal of 331696000 is 696133.

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

It is a super-2 number, since 2×331696000² = 220044472832000000, 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 331696000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331696003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5635 + ... + 26365.

Almost surely, 2^331696000 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 331696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412359480).

331696000 is an abundant number, since it is smaller than the sum of its proper divisors (493022960).

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

331696000 is an equidigital number, since it uses as much as digits as its factorization.

331696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20760 (or 20738 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 331696000 is about 18212.5231640210. The cubic root of 331696000 is about 692.2241469301.

The spelling of 331696000 in words is "three hundred thirty-one million, six hundred ninety-six thousand".