205896 has 32 divisors (see below), whose sum is σ = 538560. Its totient is φ = 65472.

The previous prime is 205883. The next prime is 205913. The reversal of 205896 is 698502.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205896.

It is an unprimeable number.

205896 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, 366 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2²⁰⁵⁸⁹⁶ 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 205896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

205896 is an abundant number, since it is smaller than the sum of its proper divisors (332664).

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

205896 is a wasteful number, since it uses less digits than its factorization.

205896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 205896 is about 453.7576445637. The cubic root of 205896 is about 59.0494653635.

The spelling of 205896 in words is "two hundred five thousand, eight hundred ninety-six".