209808 has 60 divisors (see below), whose sum is σ = 619008. Its totient is φ = 66240.

The previous prime is 209801. The next prime is 209809. The reversal of 209808 is 808902.

209808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (209801) 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, 4441 + ... + 4487.

2²⁰⁹⁸⁰⁸ 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 209808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309504).

209808 is an abundant number, since it is smaller than the sum of its proper divisors (409200).

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

209808 is a wasteful number, since it uses less digits than its factorization.

209808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 209808 is about 458.0480324158. The cubic root of 209808 is about 59.4210991944.

The spelling of 209808 in words is "two hundred nine thousand, eight hundred eight".