206568 has 48 divisors (see below), whose sum is σ = 592800. Its totient is φ = 64800.

The previous prime is 206551. The next prime is 206593. The reversal of 206568 is 865602.

206568 is a `hidden beast` number, since 2 + 0 + 656 + 8 = 666.

206568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

206568 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, 1293 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (12350).

2²⁰⁶⁵⁶⁸ 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 206568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296400).

206568 is an abundant number, since it is smaller than the sum of its proper divisors (386232).

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

206568 is a wasteful number, since it uses less digits than its factorization.

206568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 206568 is about 454.4975247457. The cubic root of 206568 is about 59.1136371598.

The spelling of 206568 in words is "two hundred six thousand, five hundred sixty-eight".