31372920 has 160 divisors (see below), whose sum is σ = 110293920. Its totient is φ = 7983360.

The previous prime is 31372909. The next prime is 31372927. The reversal of 31372920 is 2927313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31372927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74310 + ... + 74730.

It is an arithmetic number, because the mean of its divisors is an integer number (689337).

Almost surely, 2^31372920 is an apocalyptic number.

31372920 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 31372920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55146960).

31372920 is an abundant number, since it is smaller than the sum of its proper divisors (78921000).

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

31372920 is a wasteful number, since it uses less digits than its factorization.

31372920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31372920 is about 5601.1534526381. The cubic root of 31372920 is about 315.3927074908.

The spelling of 31372920 in words is "thirty-one million, three hundred seventy-two thousand, nine hundred twenty".