31990464 has 252 divisors, whose sum is σ = 110669832. Its totient is φ = 9123840.

The previous prime is 31990421. The next prime is 31990487. The reversal of 31990464 is 46409913.

31990464 is a `hidden beast` number, since 3 + 199 + 0 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881784 + ... + 1881800.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 2^31990464 is an apocalyptic number.

31990464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55334916).

31990464 is an abundant number, since it is smaller than the sum of its proper divisors (78679368).

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

31990464 is a wasteful number, since it uses less digits than its factorization.

31990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31990464 is about 5656.0113154059. The cubic root of 31990464 is about 317.4486708929.

The spelling of 31990464 in words is "thirty-one million, nine hundred ninety thousand, four hundred sixty-four".