320814 has 32 divisors (see below), whose sum is σ = 769440. Its totient is φ = 98496.

The previous prime is 320791. The next prime is 320821. The reversal of 320814 is 418023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320814.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (24045).

2³²⁰⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384720).

320814 is an abundant number, since it is smaller than the sum of its proper divisors (448626).

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

320814 is a wasteful number, since it uses less digits than its factorization.

320814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 320814 is about 566.4044491351. The cubic root of 320814 is about 68.4569854443.

Adding to 320814 its reverse (418023), we get a palindrome (738837).

The spelling of 320814 in words is "three hundred twenty thousand, eight hundred fourteen".