318080 has 64 divisors (see below), whose sum is σ = 881280. Its totient is φ = 107520.

The previous prime is 318077. The next prime is 318103. The reversal of 318080 is 80813.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 318080.

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 7 ways as a sum of consecutive naturals, for example, 4445 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2³¹⁸⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

318080 is an abundant number, since it is smaller than the sum of its proper divisors (563200).

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

318080 is an equidigital number, since it uses as much as digits as its factorization.

318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 318080 is about 563.9858154245. The cubic root of 318080 is about 68.2619652795.

Adding to 318080 its reverse (80813), we get a palindrome (398893).

The spelling of 318080 in words is "three hundred eighteen thousand, eighty".