31875920 has 80 divisors (see below), whose sum is σ = 79429440. Its totient is φ = 11860992.

The previous prime is 31875919. The next prime is 31875923. The reversal of 31875920 is 2957813.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×31875920³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31875923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101684 + ... + 101996.

It is an arithmetic number, because the mean of its divisors is an integer number (992868).

Almost surely, 2^31875920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39714720).

31875920 is an abundant number, since it is smaller than the sum of its proper divisors (47553520).

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

31875920 is a wasteful number, since it uses less digits than its factorization.

31875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 31875920 is about 5645.8763712997. The cubic root of 31875920 is about 317.0693357077.

The spelling of 31875920 in words is "thirty-one million, eight hundred seventy-five thousand, nine hundred twenty".