31984960 has 112 divisors (see below), whose sum is σ = 88513920. Its totient is φ = 10782720.

The previous prime is 31984951. The next prime is 31984969. The reversal of 31984960 is 6948913.

It is an interprime number because it is at equal distance from previous prime (31984951) and next prime (31984969).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31984969) 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, 244095 + ... + 244225.

Almost surely, 2^31984960 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 31984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44256960).

31984960 is an abundant number, since it is smaller than the sum of its proper divisors (56528960).

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

31984960 is a wasteful number, since it uses less digits than its factorization.

31984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 31984960 is about 5655.5247325071. The cubic root of 31984960 is about 317.4304640329.

The spelling of 31984960 in words is "thirty-one million, nine hundred eighty-four thousand, nine hundred sixty".