31516960 has 48 divisors (see below), whose sum is σ = 74830392. Its totient is φ = 12544000.

The previous prime is 31516951. The next prime is 31516973. The reversal of 31516960 is 6961513.

It can be written as a sum of positive squares in 4 ways, for example, as 30603024 + 913936 = 5532^2 + 956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44610 + ... + 45310.

Almost surely, 2^31516960 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 31516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37415196).

31516960 is an abundant number, since it is smaller than the sum of its proper divisors (43313432).

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

31516960 is a wasteful number, since it uses less digits than its factorization.

31516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 31516960 is about 5613.9967937290. The cubic root of 31516960 is about 315.8746498503.

The spelling of 31516960 in words is "thirty-one million, five hundred sixteen thousand, nine hundred sixty".