31984848 has 120 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 9132480.

The previous prime is 31984831. The next prime is 31984853. The reversal of 31984848 is 84848913.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20413 + ... + 21923.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^31984848 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 31984848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

31984848 is an abundant number, since it is smaller than the sum of its proper divisors (74883312).

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

31984848 is a wasteful number, since it uses less digits than its factorization.

31984848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1523 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 31984848 is about 5655.5148306763. The cubic root of 31984848 is about 317.4300935228.

The spelling of 31984848 in words is "thirty-one million, nine hundred eighty-four thousand, eight hundred forty-eight".