208896 has 52 divisors (see below), whose sum is σ = 589752. Its totient is φ = 65536.

The previous prime is 208891. The next prime is 208907. The reversal of 208896 is 698802.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (208891) by changing a digit.

In principle, a polygon with 208896 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12280 + ... + 12296.

208896 is a Friedman number, since it can be written as (60-9)*8^(8/2), using all its digits and the basic arithmetic operations.

2²⁰⁸⁸⁹⁶ 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 208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294876).

208896 is an abundant number, since it is smaller than the sum of its proper divisors (380856).

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

208896 is an equidigital number, since it uses as much as digits as its factorization.

208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 208896 is about 457.0514194267. The cubic root of 208896 is about 59.3348763083.

The spelling of 208896 in words is "two hundred eight thousand, eight hundred ninety-six".