31975680 has 144 divisors (see below), whose sum is σ = 111553344. Its totient is φ = 7741440.

The previous prime is 31975673. The next prime is 31975709. The reversal of 31975680 is 8657913.

It is a super-2 number, since 2×31975680² = 2044888222924800, which contains 22 as substring.

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, 41862 + ... + 42618.

It is an arithmetic number, because the mean of its divisors is an integer number (774676).

Almost surely, 2^31975680 is an apocalyptic number.

31975680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55776672).

31975680 is an abundant number, since it is smaller than the sum of its proper divisors (79577664).

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

31975680 is a wasteful number, since it uses less digits than its factorization.

31975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

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

The square root of 31975680 is about 5654.7042362974. The cubic root of 31975680 is about 317.3997616899.

The spelling of 31975680 in words is "thirty-one million, nine hundred seventy-five thousand, six hundred eighty".