31680512 has 48 divisors (see below), whose sum is σ = 65520000. Its totient is φ = 15298560.

The previous prime is 31680487. The next prime is 31680521. The reversal of 31680512 is 21508613.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63239 + ... + 63737.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^31680512 is an apocalyptic number.

31680512 is a gapful number since it is divisible by the number (32) 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 31680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760000).

31680512 is an abundant number, since it is smaller than the sum of its proper divisors (33839488).

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

31680512 is an equidigital number, since it uses as much as digits as its factorization.

31680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 31680512 is about 5628.5443944238. The cubic root of 31680512 is about 316.4201003403.

The spelling of 31680512 in words is "thirty-one million, six hundred eighty thousand, five hundred twelve".