31117968 has 60 divisors (see below), whose sum is σ = 99531328. Its totient is φ = 8890560.

The previous prime is 31117967. The next prime is 31117979. The reversal of 31117968 is 86971113.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31117963) 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, 14428 + ... + 16443.

Almost surely, 2^31117968 is an apocalyptic number.

It is an amenable number.

31117968 is an abundant number, since it is smaller than the sum of its proper divisors (68413360).

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

31117968 is a wasteful number, since it uses less digits than its factorization.

31117968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30892 (or 30883 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 31117968 is about 5578.3481425956. The cubic root of 31117968 is about 314.5360365405.

The spelling of 31117968 in words is "thirty-one million, one hundred seventeen thousand, nine hundred sixty-eight".