331080 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 84480.

The previous prime is 331063. The next prime is 331081. The reversal of 331080 is 80133.

331080 = T₄₈ + T₄₉ + ... + T₁₂₇.

It is a super-2 number, since 2×331080² = 219227932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (331081) by changing a digit.

331080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3676 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2³³¹⁰⁸⁰ is an apocalyptic number.

331080 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 331080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

331080 is an abundant number, since it is smaller than the sum of its proper divisors (705720).

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

331080 is a wasteful number, since it uses less digits than its factorization.

331080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 331080 is about 575.3955161452. The cubic root of 331080 is about 69.1795366448.

The spelling of 331080 in words is "three hundred thirty-one thousand, eighty".