314266968 has 96 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 98649600.

The previous prime is 314266949. The next prime is 314266993. The reversal of 314266968 is 869662413.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83773 + ... + 87443.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^314266968 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 314266968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

314266968 is an abundant number, since it is smaller than the sum of its proper divisors (587943432).

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

314266968 is a wasteful number, since it uses less digits than its factorization.

314266968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3746 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 314266968 is about 17727.5764841108. The cubic root of 314266968 is about 679.8810114755.

The spelling of 314266968 in words is "three hundred fourteen million, two hundred sixty-six thousand, nine hundred sixty-eight".