318055968 has 144 divisors (see below), whose sum is σ = 938298816. Its totient is φ = 102136320.

The previous prime is 318055967. The next prime is 318055973. The reversal of 318055968 is 869550813.

318055968 is a `hidden beast` number, since 31 + 8 + 0 + 559 + 68 = 666.

318055968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (318055967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022533 + ... + 1022843.

It is an arithmetic number, because the mean of its divisors is an integer number (6515964).

Almost surely, 2^318055968 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 318055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469149408).

318055968 is an abundant number, since it is smaller than the sum of its proper divisors (620242848).

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

318055968 is a wasteful number, since it uses less digits than its factorization.

318055968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 318055968 is about 17834.1236958814. The cubic root of 318055968 is about 682.6024609687.

It can be divided in two parts, 31805 and 5968, that added together give a palindrome (37773).

The spelling of 318055968 in words is "three hundred eighteen million, fifty-five thousand, nine hundred sixty-eight".