208832 has 28 divisors (see below), whose sum is σ = 448056. Its totient is φ = 96000.

The previous prime is 208807. The next prime is 208837. The reversal of 208832 is 238802.

208832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208832² = 87221608448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208798 and 208807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2²⁰⁸⁸³² 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 208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224028).

208832 is an abundant number, since it is smaller than the sum of its proper divisors (239224).

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

208832 is a wasteful number, since it uses less digits than its factorization.

208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 208832 is about 456.9814000591. The cubic root of 208832 is about 59.3288161636.

It can be divided in two parts, 208 and 832, that multiplied together give a square (173056 = 416²).

The spelling of 208832 in words is "two hundred eight thousand, eight hundred thirty-two".