314088 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 99968.

The previous prime is 314077. The next prime is 314107. The reversal of 314088 is 880413.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314088.

It is an unprimeable number.

314088 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, 268 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2³¹⁴⁰⁸⁸ 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 314088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

314088 is an abundant number, since it is smaller than the sum of its proper divisors (506712).

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

314088 is a wasteful number, since it uses less digits than its factorization.

314088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 314088 is about 560.4355449113. The cubic root of 314088 is about 67.9751927966.

The spelling of 314088 in words is "three hundred fourteen thousand, eighty-eight".