31968960 has 56 divisors (see below), whose sum is σ = 101504496. Its totient is φ = 8524800.

The previous prime is 31968953. The next prime is 31968997. The reversal of 31968960 is 6986913.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15691 + ... + 17610.

Almost surely, 2^31968960 is an apocalyptic number.

31968960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31968960 is an abundant number, since it is smaller than the sum of its proper divisors (69535536).

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

31968960 is a wasteful number, since it uses less digits than its factorization.

31968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33321 (or 33311 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 31968960 is about 5654.1100095417. The cubic root of 31968960 is about 317.3775252503.

The spelling of 31968960 in words is "thirty-one million, nine hundred sixty-eight thousand, nine hundred sixty".