318768 has 40 divisors (see below), whose sum is σ = 855600. Its totient is φ = 102144.

The previous prime is 318751. The next prime is 318781. The reversal of 318768 is 867813.

318768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×318768² = 203226075648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (21390).

2³¹⁸⁷⁶⁸ 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 318768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427800).

318768 is an abundant number, since it is smaller than the sum of its proper divisors (536832).

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

318768 is a wasteful number, since it uses less digits than its factorization.

318768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 318768 is about 564.5954303747. The cubic root of 318768 is about 68.3111462108.

Adding to 318768 its sum of digits (33), we get a triangular number (318801 = T₇₉₈).

The spelling of 318768 in words is "three hundred eighteen thousand, seven hundred sixty-eight".