314664 has 32 divisors (see below), whose sum is σ = 899520. Its totient is φ = 89856.

The previous prime is 314651. The next prime is 314693. The reversal of 314664 is 466413.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314664.

It is an unprimeable number.

314664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (28110).

2³¹⁴⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

314664 is an abundant number, since it is smaller than the sum of its proper divisors (584856).

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

314664 is a wasteful number, since it uses less digits than its factorization.

314664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1885 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 314664 is about 560.9491955605. The cubic root of 314664 is about 68.0167202252.

The spelling of 314664 in words is "three hundred fourteen thousand, six hundred sixty-four".