318864 has 80 divisors (see below), whose sum is σ = 1027712. Its totient is φ = 82944.

The previous prime is 318863. The next prime is 318881. The reversal of 318864 is 468813.

It is a happy number.

318864 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

318864 is an undulating number in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 318864.

It is not an unprimeable number, because it can be changed into a prime (318863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4332 + ... + 4404.

318864 is a Friedman number, since it can be written as 13*(8^4-8)*6, using all its digits and the basic arithmetic operations.

2³¹⁸⁸⁶⁴ 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 318864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513856).

318864 is an abundant number, since it is smaller than the sum of its proper divisors (708848).

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

318864 is a wasteful number, since it uses less digits than its factorization.

318864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 318864 is about 564.6804406034. The cubic root of 318864 is about 68.3180030386.

The spelling of 318864 in words is "three hundred eighteen thousand, eight hundred sixty-four".