332563968 has 220 divisors, whose sum is σ = 1087322148. Its totient is φ = 100776960.

The previous prime is 332563901. The next prime is 332563993. The reversal of 332563968 is 869365233.

332563968 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 639 + 6 + 8 = 666.

It is a super-2 number, since 2×332563968² = 221197585623810048, which contains 22 as substring.

Its product of digits (699840) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 30233083 + ... + 30233093.

Almost surely, 2^332563968 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 332563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543661074).

332563968 is an abundant number, since it is smaller than the sum of its proper divisors (754758180).

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

332563968 is an frugal number, since it uses more digits than its factorization.

332563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 16 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 332563968 is about 18236.3364741935. The cubic root of 332563968 is about 692.8274152791.

The spelling of 332563968 in words is "three hundred thirty-two million, five hundred sixty-three thousand, nine hundred sixty-eight".