208560 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 49920.

The previous prime is 208553. The next prime is 208577. The reversal of 208560 is 65802.

It is a happy number.

208560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208560.

It is an unprimeable number.

208560 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 15 ways as a sum of consecutive naturals, for example, 2601 + ... + 2679.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²⁰⁸⁵⁶⁰ is an apocalyptic number.

208560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

208560 is the 264-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

208560 is an abundant number, since it is smaller than the sum of its proper divisors (505680).

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

208560 is a wasteful number, since it uses less digits than its factorization.

208560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 208560 is about 456.6836979792. The cubic root of 208560 is about 59.3030467264.

It can be divided in two parts, 2085 and 60, that added together give a triangular number (2145 = T₆₅).

The spelling of 208560 in words is "two hundred eight thousand, five hundred sixty".