315209664 has 448 divisors, whose sum is σ = 1217249280. Its totient is φ = 77552640.

The previous prime is 315209647. The next prime is 315209707. The reversal of 315209664 is 466902513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3060237 + ... + 3060339.

Almost surely, 2^315209664 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 315209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608624640).

315209664 is an abundant number, since it is smaller than the sum of its proper divisors (902039616).

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

315209664 is a wasteful number, since it uses less digits than its factorization.

315209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 315209664 is about 17754.1449808207. The cubic root of 315209664 is about 680.5601382384.

The spelling of 315209664 in words is "three hundred fifteen million, two hundred nine thousand, six hundred sixty-four".