331081920 has 336 divisors, whose sum is σ = 1264798080. Its totient is φ = 78962688.

The previous prime is 331081903. The next prime is 331081921. The reversal of 331081920 is 29180133.

It is not an unprimeable number, because it can be changed into a prime (331081921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385161 + ... + 1385399.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2^331081920 is an apocalyptic number.

331081920 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 331081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

331081920 is an abundant number, since it is smaller than the sum of its proper divisors (933716160).

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

331081920 is a wasteful number, since it uses less digits than its factorization.

331081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 331081920 is about 18195.6566245904. The cubic root of 331081920 is about 691.7967037326.

The spelling of 331081920 in words is "three hundred thirty-one million, eighty-one thousand, nine hundred twenty".