31872960 has 448 divisors, whose sum is σ = 140451840. Its totient is φ = 6635520.

The previous prime is 31872959. The next prime is 31873007. The reversal of 31872960 is 6927813.

It is a tau number, because it is divible by the number of its divisors (448).

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 congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1028145 + ... + 1028175.

Almost surely, 2^31872960 is an apocalyptic number.

31872960 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 31872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

31872960 is an abundant number, since it is smaller than the sum of its proper divisors (108578880).

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

31872960 is a wasteful number, since it uses less digits than its factorization.

31872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 31872960 is about 5645.6142269907. The cubic root of 31872960 is about 317.0595210442.

The spelling of 31872960 in words is "thirty-one million, eight hundred seventy-two thousand, nine hundred sixty".