31607680 has 128 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 11182080.

The previous prime is 31607671. The next prime is 31607683. The reversal of 31607680 is 8670613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31607683) 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, 241215 + ... + 241345.

Almost surely, 2^31607680 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 31607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

31607680 is an abundant number, since it is smaller than the sum of its proper divisors (53215520).

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

31607680 is a wasteful number, since it uses less digits than its factorization.

31607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 31607680 is about 5622.0707928663. The cubic root of 31607680 is about 316.1774360013.

The spelling of 31607680 in words is "thirty-one million, six hundred seven thousand, six hundred eighty".