315853668 has 240 divisors, whose sum is σ = 956229120. Its totient is φ = 90201600.

The previous prime is 315853667. The next prime is 315853679. The reversal of 315853668 is 866358513.

315853668 is a `hidden beast` number, since 3 + 1 + 58 + 536 + 68 = 666.

Its product of digits (518400) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (315853667) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5353423 + ... + 5353481.

It is an arithmetic number, because the mean of its divisors is an integer number (3984288).

Almost surely, 2^315853668 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 315853668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478114560).

315853668 is an abundant number, since it is smaller than the sum of its proper divisors (640375452).

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

315853668 is a wasteful number, since it uses less digits than its factorization.

315853668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 315853668 is about 17772.2724489582. The cubic root of 315853668 is about 681.0233064662.

It can be divided in two parts, 31585 and 3668, that added together give a palindrome (35253).

The spelling of 315853668 in words is "three hundred fifteen million, eight hundred fifty-three thousand, six hundred sixty-eight".