204568 has 32 divisors (see below), whose sum is σ = 473760. Its totient is φ = 80640.

The previous prime is 204563. The next prime is 204583. The reversal of 204568 is 865402.

204568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204563) by changing a digit.

204568 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 7 ways as a sum of consecutive naturals, for example, 588 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (14805).

2²⁰⁴⁵⁶⁸ is an apocalyptic number.

204568 is a gapful number since it is divisible by the number (28) 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 204568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236880).

204568 is an abundant number, since it is smaller than the sum of its proper divisors (269192).

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

204568 is a wasteful number, since it uses less digits than its factorization.

204568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 204568 is about 452.2919411177. The cubic root of 204568 is about 58.9222378781.

The spelling of 204568 in words is "two hundred four thousand, five hundred sixty-eight".