318672816 has 160 divisors (see below), whose sum is σ = 1034981376. Its totient is φ = 82080000.

The previous prime is 318672799. The next prime is 318672841. The reversal of 318672816 is 618276813.

It is a super-3 number, since 3×318672816³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557811 + ... + 558381.

Almost surely, 2^318672816 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 318672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517490688).

318672816 is an abundant number, since it is smaller than the sum of its proper divisors (716308560).

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

318672816 is a wasteful number, since it uses less digits than its factorization.

318672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 318672816 is about 17851.4093561265. The cubic root of 318672816 is about 683.0434630679.

The spelling of 318672816 in words is "three hundred eighteen million, six hundred seventy-two thousand, eight hundred sixteen".