331320 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 80000.

The previous prime is 331319. The next prime is 331333. The reversal of 331320 is 23133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 331296 and 331305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³³¹³²⁰ is an apocalyptic number.

331320 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 331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

331320 is an abundant number, since it is smaller than the sum of its proper divisors (757320).

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

331320 is a wasteful number, since it uses less digits than its factorization.

331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 331320 is about 575.6040305627. The cubic root of 331320 is about 69.1962486968.

Adding to 331320 its reverse (23133), we get a palindrome (354453).

It can be divided in two parts, 3313 and 20, that added together give a palindrome (3333).

The spelling of 331320 in words is "three hundred thirty-one thousand, three hundred twenty".