318399120 has 640 divisors, whose sum is σ = 1349913600. Its totient is φ = 68124672.

The previous prime is 318399089. The next prime is 318399127. The reversal of 318399120 is 21993813.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318399127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10979266 + ... + 10979294.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^318399120 is an apocalyptic number.

318399120 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 318399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

318399120 is an abundant number, since it is smaller than the sum of its proper divisors (1031514480).

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

318399120 is a wasteful number, since it uses less digits than its factorization.

318399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 318399120 is about 17843.7417600682. The cubic root of 318399120 is about 682.8478603471.

The spelling of 318399120 in words is "three hundred eighteen million, three hundred ninety-nine thousand, one hundred twenty".