31009968 has 60 divisors (see below), whose sum is σ = 94679208. Its totient is φ = 9396480.

The previous prime is 31009963. The next prime is 31009997. The reversal of 31009968 is 86990013.

It is a super-2 number, since 2×31009968² = 1923236230722048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (31009963) 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, 8205 + ... + 11372.

Almost surely, 2^31009968 is an apocalyptic number.

It is an amenable number.

31009968 is an abundant number, since it is smaller than the sum of its proper divisors (63669240).

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

31009968 is a wasteful number, since it uses less digits than its factorization.

31009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19602 (or 19593 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 31009968 is about 5568.6594437082. The cubic root of 31009968 is about 314.1717318270.

The spelling of 31009968 in words is "thirty-one million, nine thousand, nine hundred sixty-eight".