314068608 has 384 divisors, whose sum is σ = 1145664000. Its totient is φ = 80510976.

The previous prime is 314068577. The next prime is 314068621. The reversal of 314068608 is 806860413.

It is a happy number.

314068608 is a `hidden beast` number, since 3 + 1 + 40 + 6 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3975513 + ... + 3975591.

It is an arithmetic number, because the mean of its divisors is an integer number (2983500).

Almost surely, 2^314068608 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 314068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572832000).

314068608 is an abundant number, since it is smaller than the sum of its proper divisors (831595392).

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

314068608 is a wasteful number, since it uses less digits than its factorization.

314068608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 314068608 is about 17721.9809276503. The cubic root of 314068608 is about 679.7379382340.

The spelling of 314068608 in words is "three hundred fourteen million, sixty-eight thousand, six hundred eight".