31948872 has 64 divisors (see below), whose sum is σ = 82286400. Its totient is φ = 10333440.

The previous prime is 31948867. The next prime is 31948897. The reversal of 31948872 is 27884913.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203418 + ... + 203574.

It is an arithmetic number, because the mean of its divisors is an integer number (1285725).

Almost surely, 2^31948872 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 31948872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41143200).

31948872 is an abundant number, since it is smaller than the sum of its proper divisors (50337528).

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

31948872 is a wasteful number, since it uses less digits than its factorization.

31948872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 31948872 is about 5652.3333235046. Note that the first 4 decimals coincide. The cubic root of 31948872 is about 317.3110355932.

The spelling of 31948872 in words is "thirty-one million, nine hundred forty-eight thousand, eight hundred seventy-two".