318720 has 72 divisors (see below), whose sum is σ = 1030176. Its totient is φ = 83968.

The previous prime is 318713. The next prime is 318737. The reversal of 318720 is 27813.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

318720 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 7 ways as a sum of consecutive naturals, for example, 3799 + ... + 3881.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2³¹⁸⁷²⁰ is an apocalyptic number.

318720 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 318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088).

318720 is an abundant number, since it is smaller than the sum of its proper divisors (711456).

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

318720 is an equidigital number, since it uses as much as digits as its factorization.

318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 318720 is about 564.5529204601. The cubic root of 318720 is about 68.3077172807.

The spelling of 318720 in words is "three hundred eighteen thousand, seven hundred twenty".