316693152 has 144 divisors (see below), whose sum is σ = 943881120. Its totient is φ = 104447232.

The previous prime is 316693147. The next prime is 316693163. The reversal of 316693152 is 251396613.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 1080718 + ... + 1081010.

It is an arithmetic number, because the mean of its divisors is an integer number (6554730).

Almost surely, 2^316693152 is an apocalyptic number.

316693152 is a gapful number since it is divisible by the number (32) 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 316693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471940560).

316693152 is an abundant number, since it is smaller than the sum of its proper divisors (627187968).

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

316693152 is a wasteful number, since it uses less digits than its factorization.

316693152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 316693152 is about 17795.8745781150. The cubic root of 316693152 is about 681.6261198084.

The spelling of 316693152 in words is "three hundred sixteen million, six hundred ninety-three thousand, one hundred fifty-two".