331775920 has 80 divisors (see below), whose sum is σ = 919941120. Its totient is φ = 108801792.

The previous prime is 331775879. The next prime is 331776001. The reversal of 331775920 is 29577133.

331775920 is a nontrivial binomial coefficient, being equal to C(25760, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×331775920² = 220150522183692800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331775920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 25759.

It is an arithmetic number, because the mean of its divisors is an integer number (11499264).

Almost surely, 2^331775920 is an apocalyptic number.

331775920 is the 25759-th triangular number and also the 12880-th hexagonal number.

331775920 is the 8587-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331775920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459970560).

331775920 is an abundant number, since it is smaller than the sum of its proper divisors (588165200).

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

331775920 is a wasteful number, since it uses less digits than its factorization.

331775920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25802 (or 25796 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 331775920 is about 18214.7171265436. The cubic root of 331775920 is about 692.2797381052.

The spelling of 331775920 in words is "three hundred thirty-one million, seven hundred seventy-five thousand, nine hundred twenty".