316905120 has 288 divisors, whose sum is σ = 1250121600. Its totient is φ = 71608320.

The previous prime is 316905101. The next prime is 316905131. The reversal of 316905120 is 21509613.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1501815 + ... + 1502025.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 2^316905120 is an apocalyptic number.

316905120 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 316905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625060800).

316905120 is an abundant number, since it is smaller than the sum of its proper divisors (933216480).

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

316905120 is a wasteful number, since it uses less digits than its factorization.

316905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 316905120 is about 17801.8291195034. The cubic root of 316905120 is about 681.7781604630.

The spelling of 316905120 in words is "three hundred sixteen million, nine hundred five thousand, one hundred twenty".