331986564 has 216 divisors, whose sum is σ = 1087527168. Its totient is φ = 84551040.

The previous prime is 331986547. The next prime is 331986581. The reversal of 331986564 is 465689133.

331986564 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 86 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (331986547) and next prime (331986581).

It is a super-2 number, since 2×331986564² = 220430157353052192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 710659 + ... + 711125.

It is an arithmetic number, because the mean of its divisors is an integer number (5034848).

Almost surely, 2^331986564 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 331986564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543763584).

331986564 is an abundant number, since it is smaller than the sum of its proper divisors (755540604).

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

331986564 is a wasteful number, since it uses less digits than its factorization.

331986564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 331986564 is about 18220.4984564089. The cubic root of 331986564 is about 692.4262162088.

The spelling of 331986564 in words is "three hundred thirty-one million, nine hundred eighty-six thousand, five hundred sixty-four".