31132920 has 128 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 6566400.

The previous prime is 31132891. The next prime is 31132939. The reversal of 31132920 is 2923113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9495 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (898380).

Almost surely, 2^31132920 is an apocalyptic number.

31132920 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 31132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

31132920 is an abundant number, since it is smaller than the sum of its proper divisors (83859720).

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

31132920 is a wasteful number, since it uses less digits than its factorization.

31132920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 31132920 is about 5579.6881633296. The cubic root of 31132920 is about 314.5864060438.

The spelling of 31132920 in words is "thirty-one million, one hundred thirty-two thousand, nine hundred twenty".