318816 has 72 divisors (see below), whose sum is σ = 963144. Its totient is φ = 103680.

The previous prime is 318811. The next prime is 318817. The reversal of 318816 is 618813.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 318816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7756 + ... + 7796.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2³¹⁸⁸¹⁶ is an apocalyptic number.

318816 is a gapful number since it is divisible by the number (36) 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 318816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572).

318816 is an abundant number, since it is smaller than the sum of its proper divisors (644328).

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

318816 is an equidigital number, since it uses as much as digits as its factorization.

318816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 318816 is about 564.6379370889. The cubic root of 318816 is about 68.3145747968.

The spelling of 318816 in words is "three hundred eighteen thousand, eight hundred sixteen".