31873664 has 32 divisors (see below), whose sum is σ = 64986240. Its totient is φ = 15563520.

The previous prime is 31873649. The next prime is 31873717. The reversal of 31873664 is 46637813.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2609 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (2030820).

Almost surely, 2^31873664 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 31873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32493120).

31873664 is an abundant number, since it is smaller than the sum of its proper divisors (33112576).

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

31873664 is an equidigital number, since it uses as much as digits as its factorization.

31873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5836 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 31873664 is about 5645.6765759296. The cubic root of 31873664 is about 317.0618553976.

The spelling of 31873664 in words is "thirty-one million, eight hundred seventy-three thousand, six hundred sixty-four".