331835920 has 120 divisors (see below), whose sum is σ = 886208904. Its totient is φ = 114475008.

The previous prime is 331835899. The next prime is 331835923. The reversal of 331835920 is 29538133.

It can be written as a sum of positive squares in 12 ways, for example, as 56010256 + 275825664 = 7484^2 + 16608^2 .

It is a super-2 number, since 2×331835920² = 220230155604492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331835923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2422092 + ... + 2422228.

Almost surely, 2^331835920 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 331835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443104452).

331835920 is an abundant number, since it is smaller than the sum of its proper divisors (554372984).

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

331835920 is a wasteful number, since it uses less digits than its factorization.

331835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 331835920 is about 18216.3640718997. The cubic root of 331835920 is about 692.3214673549.

The spelling of 331835920 in words is "three hundred thirty-one million, eight hundred thirty-five thousand, nine hundred twenty".