318712320 has 400 divisors, whose sum is σ = 1203170760. Its totient is φ = 80510976.

The previous prime is 318712309. The next prime is 318712343. The reversal of 318712320 is 23217813.

It can be written as a sum of positive squares in 4 ways, for example, as 283855104 + 34857216 = 16848^2 + 5904^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6013414 + ... + 6013466.

Almost surely, 2^318712320 is an apocalyptic number.

318712320 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 318712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601585380).

318712320 is an abundant number, since it is smaller than the sum of its proper divisors (884458440).

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

318712320 is an equidigital number, since it uses as much as digits as its factorization.

318712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 318712320 is about 17852.5157890982. The cubic root of 318712320 is about 683.0716861991.

It can be divided in two parts, 31871 and 2320, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 318712320 in words is "three hundred eighteen million, seven hundred twelve thousand, three hundred twenty".