315068416 has 104 divisors (see below), whose sum is σ = 696759224. Its totient is φ = 141557760.

The previous prime is 315068363. The next prime is 315068473. The reversal of 315068416 is 614860513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 309760000 = 2304^2 + 17600^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3248080 + ... + 3248176.

Almost surely, 2^315068416 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 315068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348379612).

315068416 is an abundant number, since it is smaller than the sum of its proper divisors (381690808).

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

315068416 is an equidigital number, since it uses as much as digits as its factorization.

315068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 315068416 is about 17750.1666471050. The cubic root of 315068416 is about 680.4584682163.

The spelling of 315068416 in words is "three hundred fifteen million, sixty-eight thousand, four hundred sixteen".