314796096 has 84 divisors (see below), whose sum is σ = 906022572. Its totient is φ = 104500224.

The previous prime is 314796071. The next prime is 314796107. The reversal of 314796096 is 690697413.

314796096 is a `hidden beast` number, since 31 + 4 + 7 + 9 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60840000 + 253956096 = 7800^2 + 15936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158566 + ... + 160538.

It is an arithmetic number, because the mean of its divisors is an integer number (10785983).

Almost surely, 2^314796096 is an apocalyptic number.

314796096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453011286).

314796096 is an abundant number, since it is smaller than the sum of its proper divisors (591226476).

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

314796096 is a wasteful number, since it uses less digits than its factorization.

314796096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 314796096 is about 17742.4940749603. The cubic root of 314796096 is about 680.2623670383.

The spelling of 314796096 in words is "three hundred fourteen million, seven hundred ninety-six thousand, ninety-six".