318960 has 60 divisors (see below), whose sum is σ = 1073592. Its totient is φ = 84864.

The previous prime is 318949. The next prime is 318979. The reversal of 318960 is 69813.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499 + ... + 941.

2³¹⁸⁹⁶⁰ is an apocalyptic number.

318960 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 318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536796).

318960 is an abundant number, since it is smaller than the sum of its proper divisors (754632).

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

318960 is a wasteful number, since it uses less digits than its factorization.

318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 318960 is about 564.7654380360. The cubic root of 318960 is about 68.3248584903.

It can be divided in two parts, 3189 and 60, that added together give a square (3249 = 57²).

The spelling of 318960 in words is "three hundred eighteen thousand, nine hundred sixty".