331753968 has 400 divisors, whose sum is σ = 1235129280. Its totient is φ = 83607552.

The previous prime is 331753957. The next prime is 331753973. The reversal of 331753968 is 869357133.

It is a super-2 number, since 2×331753968² = 220121390567490048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3420096 + ... + 3420192.

Almost surely, 2^331753968 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 331753968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617564640).

331753968 is an abundant number, since it is smaller than the sum of its proper divisors (903375312).

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

331753968 is a wasteful number, since it uses less digits than its factorization.

331753968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 331753968 is about 18214.1145269266. The cubic root of 331753968 is about 692.2644695067.

The spelling of 331753968 in words is "three hundred thirty-one million, seven hundred fifty-three thousand, nine hundred sixty-eight".