318193920 has 504 divisors, whose sum is σ = 1286836992. Its totient is φ = 74649600.

The previous prime is 318193919. The next prime is 318193943. The reversal of 318193920 is 29391813.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264305 + ... + 10264335.

It is an arithmetic number, because the mean of its divisors is an integer number (2553248).

Almost surely, 2^318193920 is an apocalyptic number.

318193920 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 318193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643418496).

318193920 is an abundant number, since it is smaller than the sum of its proper divisors (968643072).

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

318193920 is an equidigital number, since it uses as much as digits as its factorization.

318193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

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

The square root of 318193920 is about 17837.9909182621. The cubic root of 318193920 is about 682.7011362261.

The spelling of 318193920 in words is "three hundred eighteen million, one hundred ninety-three thousand, nine hundred twenty".