31359968 has 36 divisors (see below), whose sum is σ = 65604672. Its totient is φ = 14753280.

The previous prime is 31359967. The next prime is 31360027. The reversal of 31359968 is 86995313.

It is a super-2 number, since 2×31359968² = 1966895185922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31359961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7553 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (1822352).

Almost surely, 2^31359968 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 31359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32802336).

31359968 is an abundant number, since it is smaller than the sum of its proper divisors (34244704).

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

31359968 is a wasteful number, since it uses less digits than its factorization.

31359968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3410 counting only the distinct ones).

The product of its digits is 174960, while the sum is 44.

The square root of 31359968 is about 5599.9971428564. The cubic root of 31359968 is about 315.3492992625.

The spelling of 31359968 in words is "thirty-one million, three hundred fifty-nine thousand, nine hundred sixty-eight".