208864 has 24 divisors (see below), whose sum is σ = 421848. Its totient is φ = 101760.

The previous prime is 208843. The next prime is 208877. The reversal of 208864 is 468802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1899 + ... + 2005.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2²⁰⁸⁸⁶⁴ 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 208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924).

208864 is an abundant number, since it is smaller than the sum of its proper divisors (212984).

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

208864 is a wasteful number, since it uses less digits than its factorization.

208864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 208864 is about 457.0164110839. The cubic root of 208864 is about 59.3318463907.

The spelling of 208864 in words is "two hundred eight thousand, eight hundred sixty-four".