208960 has 28 divisors (see below), whose sum is σ = 498348. Its totient is φ = 83456.

The previous prime is 208933. The next prime is 208961. The reversal of 208960 is 69802.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 147456 = 248^2 + 384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208961) by changing a digit.

208960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 646.

2²⁰⁸⁹⁶⁰ is an apocalyptic number.

208960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249174).

208960 is an abundant number, since it is smaller than the sum of its proper divisors (289388).

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

208960 is an equidigital number, since it uses as much as digits as its factorization.

208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 208960 is about 457.1214280692. The cubic root of 208960 is about 59.3409352153.

The spelling of 208960 in words is "two hundred eight thousand, nine hundred sixty".