31980096 has 140 divisors (see below), whose sum is σ = 98348800. Its totient is φ = 10264320.

The previous prime is 31980083. The next prime is 31980101. The reversal of 31980096 is 69008913.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 31980096.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160605 + ... + 160803.

Almost surely, 2^31980096 is an apocalyptic number.

31980096 is a gapful number since it is divisible by the number (36) 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 31980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49174400).

31980096 is an abundant number, since it is smaller than the sum of its proper divisors (66368704).

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

31980096 is a wasteful number, since it uses less digits than its factorization.

31980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 31980096 is about 5655.0946941674. The cubic root of 31980096 is about 317.4143725111.

The spelling of 31980096 in words is "thirty-one million, nine hundred eighty thousand, ninety-six".