320580 has 72 divisors (see below), whose sum is σ = 1054872. Its totient is φ = 78336.

The previous prime is 320563. The next prime is 320591. The reversal of 320580 is 85023.

320580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 311364 = 96^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320580.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 2272 + ... + 2408.

It is an arithmetic number, because the mean of its divisors is an integer number (14651).

2³²⁰⁵⁸⁰ is an apocalyptic number.

320580 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 320580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527436).

320580 is an abundant number, since it is smaller than the sum of its proper divisors (734292).

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

320580 is a wasteful number, since it uses less digits than its factorization.

320580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 320580 is about 566.1978452803. The cubic root of 320580 is about 68.4403373441.

It can be divided in two parts, 320 and 580, that added together give a square (900 = 30²).

The spelling of 320580 in words is "three hundred twenty thousand, five hundred eighty".