31705968 has 80 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 8994048.

The previous prime is 31705943. The next prime is 31705987. The reversal of 31705968 is 86950713.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65953 + ... + 66431.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^31705968 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 31705968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

31705968 is an abundant number, since it is smaller than the sum of its proper divisors (62573712).

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

31705968 is a wasteful number, since it uses less digits than its factorization.

31705968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 31705968 is about 5630.8052710070. The cubic root of 31705968 is about 316.5048278602.

The spelling of 31705968 in words is "thirty-one million, seven hundred five thousand, nine hundred sixty-eight".