320688 has 60 divisors (see below), whose sum is σ = 957528. Its totient is φ = 99840.

The previous prime is 320687. The next prime is 320693. The reversal of 320688 is 886023.

320688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (320687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2383 + ... + 2513.

2³²⁰⁶⁸⁸ 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 320688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478764).

320688 is an abundant number, since it is smaller than the sum of its proper divisors (636840).

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

320688 is a wasteful number, since it uses less digits than its factorization.

320688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 320688 is about 566.2932102719. The cubic root of 320688 is about 68.4480220889.

The spelling of 320688 in words is "three hundred twenty thousand, six hundred eighty-eight".