331553664 has 192 divisors, whose sum is σ = 1041440400. Its totient is φ = 101237760.

The previous prime is 331553659. The next prime is 331553687. The reversal of 331553664 is 466355133.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×331553664² = 219855664223649792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2530879 + ... + 2531009.

Almost surely, 2^331553664 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 331553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520720200).

331553664 is an abundant number, since it is smaller than the sum of its proper divisors (709886736).

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

331553664 is a wasteful number, since it uses less digits than its factorization.

331553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 331553664 is about 18208.6151038458. The cubic root of 331553664 is about 692.1251179871.

The spelling of 331553664 in words is "three hundred thirty-one million, five hundred fifty-three thousand, six hundred sixty-four".