332968896 has 168 divisors, whose sum is σ = 1048451040. Its totient is φ = 100399104.

The previous prime is 332968891. The next prime is 332968903. The reversal of 332968896 is 698869233.

It is a super-2 number, since 2×332968896² = 221736571406917632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332968891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396445 + ... + 397283.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2^332968896 is an apocalyptic number.

332968896 is a gapful number since it is divisible by the number (36) 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 332968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

332968896 is an abundant number, since it is smaller than the sum of its proper divisors (715482144).

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

332968896 is a wasteful number, since it uses less digits than its factorization.

332968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 910 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 332968896 is about 18247.4353266425. The cubic root of 332968896 is about 693.1084954723.

The spelling of 332968896 in words is "three hundred thirty-two million, nine hundred sixty-eight thousand, eight hundred ninety-six".