318116920 has 128 divisors (see below), whose sum is σ = 839808000. Its totient is φ = 107161600.

The previous prime is 318116917. The next prime is 318116923. The reversal of 318116920 is 29611813.

It is an interprime number because it is at equal distance from previous prime (318116917) and next prime (318116923).

It is a super-4 number, since 4×318116920⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318116923) 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 31 ways as a sum of consecutive naturals, for example, 530781 + ... + 531379.

It is an arithmetic number, because the mean of its divisors is an integer number (6561000).

Almost surely, 2^318116920 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 318116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419904000).

318116920 is an abundant number, since it is smaller than the sum of its proper divisors (521691080).

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

318116920 is a wasteful number, since it uses less digits than its factorization.

318116920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 318116920 is about 17835.8324728620. The cubic root of 318116920 is about 682.6460626530.

The spelling of 318116920 in words is "three hundred eighteen million, one hundred sixteen thousand, nine hundred twenty".