31968288 has 72 divisors (see below), whose sum is σ = 99184176. Its totient is φ = 9686400.

The previous prime is 31968281. The next prime is 31968289. The reversal of 31968288 is 88286913.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31968281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1878 + ... + 8213.

It is an arithmetic number, because the mean of its divisors is an integer number (1377558).

Almost surely, 2^31968288 is an apocalyptic number.

It is an amenable number.

31968288 is an abundant number, since it is smaller than the sum of its proper divisors (67215888).

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

31968288 is a wasteful number, since it uses less digits than its factorization.

31968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10107 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 31968288 is about 5654.0505834313. The cubic root of 31968288 is about 317.3753014349.

The spelling of 31968288 in words is "thirty-one million, nine hundred sixty-eight thousand, two hundred eighty-eight".