314688 has 56 divisors (see below), whose sum is σ = 914400. Its totient is φ = 94720.

The previous prime is 314651. The next prime is 314693. The reversal of 314688 is 886413.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2038 + ... + 2186.

314688 is a Friedman number, since it can be written as 8*6*(3^8-4-1), using all its digits and the basic arithmetic operations.

2³¹⁴⁶⁸⁸ 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 314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457200).

314688 is an abundant number, since it is smaller than the sum of its proper divisors (599712).

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

314688 is a wasteful number, since it uses less digits than its factorization.

314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 314688 is about 560.9705874643. The cubic root of 314688 is about 68.0184494345.

The spelling of 314688 in words is "three hundred fourteen thousand, six hundred eighty-eight".