315796320 has 360 divisors, whose sum is σ = 1295666064. Its totient is φ = 70958592.

The previous prime is 315796303. The next prime is 315796333. The reversal of 315796320 is 23697513.

315796320 is a `hidden beast` number, since 3 + 1 + 579 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5352451 + ... + 5352509.

Almost surely, 2^315796320 is an apocalyptic number.

315796320 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 315796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647833032).

315796320 is an abundant number, since it is smaller than the sum of its proper divisors (979869744).

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

315796320 is an equidigital number, since it uses as much as digits as its factorization.

315796320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 315796320 is about 17770.6589635838. The cubic root of 315796320 is about 680.9820872852.

The spelling of 315796320 in words is "three hundred fifteen million, seven hundred ninety-six thousand, three hundred twenty".