31968280 has 32 divisors (see below), whose sum is σ = 72802800. Its totient is φ = 12631936.

The previous prime is 31968257. The next prime is 31968281. The reversal of 31968280 is 8286913.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31968281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495 + ... + 8134.

Almost surely, 2^31968280 is an apocalyptic number.

It is an amenable number.

31968280 is an abundant number, since it is smaller than the sum of its proper divisors (40834520).

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

31968280 is a wasteful number, since it uses less digits than its factorization.

31968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 31968280 is about 5654.0498759739. The cubic root of 31968280 is about 317.3752749607.

It can be divided in two parts, 3196 and 8280, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 31968280 in words is "thirty-one million, nine hundred sixty-eight thousand, two hundred eighty".