315829696 has 168 divisors, whose sum is σ = 804281856. Its totient is φ = 121927680.

The previous prime is 315829693. The next prime is 315829697. The reversal of 315829696 is 696928513.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315829693) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2486785 + ... + 2486911.

It is an arithmetic number, because the mean of its divisors is an integer number (4787392).

Almost surely, 2^315829696 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 315829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402140928).

315829696 is an abundant number, since it is smaller than the sum of its proper divisors (488452160).

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

315829696 is a wasteful number, since it uses less digits than its factorization.

315829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 315829696 is about 17771.5980148100. The cubic root of 315829696 is about 681.0060770703.

The spelling of 315829696 in words is "three hundred fifteen million, eight hundred twenty-nine thousand, six hundred ninety-six".