320208 has 40 divisors (see below), whose sum is σ = 946368. Its totient is φ = 91392.

The previous prime is 320179. The next prime is 320209. The reversal of 320208 is 802023.

320208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 812.

2³²⁰²⁰⁸ 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 320208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473184).

320208 is an abundant number, since it is smaller than the sum of its proper divisors (626160).

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

320208 is a wasteful number, since it uses less digits than its factorization.

320208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 320208 is about 565.8692428468. The cubic root of 320208 is about 68.4138544488.

It can be divided in two parts, 320 and 208, that added together give a triangular number (528 = T₃₂).

The spelling of 320208 in words is "three hundred twenty thousand, two hundred eight".