315869664 has 96 divisors (see below), whose sum is σ = 933811200. Its totient is φ = 92620800.

The previous prime is 315869663. The next prime is 315869669. The reversal of 315869664 is 466968513.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315869663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27912 + ... + 37560.

It is an arithmetic number, because the mean of its divisors is an integer number (9727200).

Almost surely, 2^315869664 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 315869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466905600).

315869664 is an abundant number, since it is smaller than the sum of its proper divisors (617941536).

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

315869664 is a wasteful number, since it uses less digits than its factorization.

315869664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9696 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 315869664 is about 17772.7224701226. The cubic root of 315869664 is about 681.0348027866.

The spelling of 315869664 in words is "three hundred fifteen million, eight hundred sixty-nine thousand, six hundred sixty-four".