31964480 has 112 divisors (see below), whose sum is σ = 82076544. Its totient is φ = 11827200.

The previous prime is 31964477. The next prime is 31964483. The reversal of 31964480 is 8446913.

It is an interprime number because it is at equal distance from previous prime (31964477) and next prime (31964483).

It is a self number, because there is not a number n which added to its sum of digits gives 31964480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31964483) 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, 316430 + ... + 316530.

Almost surely, 2^31964480 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 31964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41038272).

31964480 is an abundant number, since it is smaller than the sum of its proper divisors (50112064).

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

31964480 is a wasteful number, since it uses less digits than its factorization.

31964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 31964480 is about 5653.7138236738. The cubic root of 31964480 is about 317.3626992259.

The spelling of 31964480 in words is "thirty-one million, nine hundred sixty-four thousand, four hundred eighty".