31817968 has 90 divisors (see below), whose sum is σ = 78196632. Its totient is φ = 12280320.

The previous prime is 31817953. The next prime is 31817969. The reversal of 31817968 is 86971813.

Its product of digits (72576) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31817969) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 776028 + ... + 776068.

Almost surely, 2^31817968 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 31817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39098316).

31817968 is an abundant number, since it is smaller than the sum of its proper divisors (46378664).

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

31817968 is a wasteful number, since it uses less digits than its factorization.

31817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 63 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The square root of 31817968 is about 5640.7417951897. The cubic root of 31817968 is about 316.8770698966.

The spelling of 31817968 in words is "thirty-one million, eight hundred seventeen thousand, nine hundred sixty-eight".