316081920 has 288 divisors, whose sum is σ = 1259758080. Its totient is φ = 65617920.

The previous prime is 316081919. The next prime is 316081937. The reversal of 316081920 is 29180613.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 295146 + ... + 296214.

It is an arithmetic number, because the mean of its divisors is an integer number (4374160).

Almost surely, 2^316081920 is an apocalyptic number.

316081920 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 316081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629879040).

316081920 is an abundant number, since it is smaller than the sum of its proper divisors (943676160).

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

316081920 is a wasteful number, since it uses less digits than its factorization.

316081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 316081920 is about 17778.6928653374. The cubic root of 316081920 is about 681.1873143791.

The spelling of 316081920 in words is "three hundred sixteen million, eighty-one thousand, nine hundred twenty".