31964000 has 96 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 12480000.

The previous prime is 31963991. The next prime is 31964027. The reversal of 31964000 is 46913.

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, 243935 + ... + 244065.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^31964000 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 31964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

31964000 is an abundant number, since it is smaller than the sum of its proper divisors (48468352).

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

31964000 is a wasteful number, since it uses less digits than its factorization.

31964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 31964000 is about 5653.6713735413. The cubic root of 31964000 is about 317.3611106412.

The spelling of 31964000 in words is "thirty-one million, nine hundred sixty-four thousand".