31996000 has 96 divisors (see below), whose sum is σ = 82948320. Its totient is φ = 12096000.

The previous prime is 31995983. The next prime is 31996021. The reversal of 31996000 is 69913.

It is a happy number.

31996000 is a nontrivial binomial coefficient, being equal to C(8000, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 31996000.

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, 75790 + ... + 76210.

It is an arithmetic number, because the mean of its divisors is an integer number (864045).

Almost surely, 2^31996000 is an apocalyptic number.

31996000 is the 7999-th triangular number and also the 4000-th hexagonal number.

31996000 is the 2667-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41474160).

31996000 is an abundant number, since it is smaller than the sum of its proper divisors (50952320).

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

31996000 is a wasteful number, since it uses less digits than its factorization.

31996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 31996000 is about 5656.5006850526. The cubic root of 31996000 is about 317.4669815003.

The spelling of 31996000 in words is "thirty-one million, nine hundred ninety-six thousand".