331684920 has 144 divisors (see below), whose sum is σ = 1254038760. Its totient is φ = 75809664.

The previous prime is 331684901. The next prime is 331684931. The reversal of 331684920 is 29486133.

331684920 is a `hidden beast` number, since 3 + 3 + 168 + 492 + 0 = 666.

It is a super-2 number, since 2×331684920² = 220029772310812800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8239 + ... + 27041.

Almost surely, 2^331684920 is an apocalyptic number.

331684920 is a gapful number since it is divisible by the number (30) 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 331684920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627019380).

331684920 is an abundant number, since it is smaller than the sum of its proper divisors (922353840).

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

331684920 is a wasteful number, since it uses less digits than its factorization.

331684920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18834 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 331684920 is about 18212.2189751826. The cubic root of 331684920 is about 692.2164391405.

The spelling of 331684920 in words is "three hundred thirty-one million, six hundred eighty-four thousand, nine hundred twenty".