31951968 has 96 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 9816576.

The previous prime is 31951961. The next prime is 31951973. The reversal of 31951968 is 86915913.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31951961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63783 + ... + 64281.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^31951968 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 31951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

31951968 is an abundant number, since it is smaller than the sum of its proper divisors (58768032).

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

31951968 is a wasteful number, since it uses less digits than its factorization.

31951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 31951968 is about 5652.6071860691. The cubic root of 31951968 is about 317.3212849195.

The spelling of 31951968 in words is "thirty-one million, nine hundred fifty-one thousand, nine hundred sixty-eight".