208884 has 36 divisors (see below), whose sum is σ = 532896. Its totient is φ = 63648.

The previous prime is 208877. The next prime is 208889. The reversal of 208884 is 488802.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208889) by changing a digit.

208884 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 11 ways as a sum of consecutive naturals, for example, 1977 + ... + 2079.

2²⁰⁸⁸⁸⁴ 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 208884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266448).

208884 is an abundant number, since it is smaller than the sum of its proper divisors (324012).

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

208884 is a wasteful number, since it uses less digits than its factorization.

208884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 208884 is about 457.0382916124. The cubic root of 208884 is about 59.3337401254. Note that the first 3 decimals are identical.

The spelling of 208884 in words is "two hundred eight thousand, eight hundred eighty-four".