208296 has 48 divisors (see below), whose sum is σ = 617760. Its totient is φ = 62880.

The previous prime is 208291. The next prime is 208309. The reversal of 208296 is 692802.

208296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

208296 is a modest number, since divided by 296 gives 208 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208296.

It is not an unprimeable number, because it can be changed into a prime (208291) by changing a digit.

208296 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, 661 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2²⁰⁸²⁹⁶ 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 208296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

208296 is an abundant number, since it is smaller than the sum of its proper divisors (409464).

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

208296 is a wasteful number, since it uses less digits than its factorization.

208296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208296 is about 456.3945661377. The cubic root of 208296 is about 59.2780137784.

The spelling of 208296 in words is "two hundred eight thousand, two hundred ninety-six".