318000864 has 48 divisors (see below), whose sum is σ = 840792960. Its totient is φ = 105233280.

The previous prime is 318000841. The next prime is 318000913. The reversal of 318000864 is 468000813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×318000864² = 202249099009492992, which contains 22 as substring.

It is a congruent number.

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, 1429 + ... + 25259.

It is an arithmetic number, because the mean of its divisors is an integer number (17516520).

Almost surely, 2^318000864 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 318000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420396480).

318000864 is an abundant number, since it is smaller than the sum of its proper divisors (522792096).

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

318000864 is a wasteful number, since it uses less digits than its factorization.

318000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23983 (or 23975 counting only the distinct ones).

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

The square root of 318000864 is about 17832.5787254676. The cubic root of 318000864 is about 682.5630378249.

The spelling of 318000864 in words is "three hundred eighteen million, eight hundred sixty-four", and thus it is an aban number.