205296 has 80 divisors (see below), whose sum is σ = 666624. Its totient is φ = 52992.

The previous prime is 205267. The next prime is 205297. The reversal of 205296 is 692502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4345 + ... + 4391.

2²⁰⁵²⁹⁶ is an apocalyptic number.

205296 is a gapful number since it is divisible by the number (26) 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 205296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

205296 is an abundant number, since it is smaller than the sum of its proper divisors (461328).

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

205296 is a wasteful number, since it uses less digits than its factorization.

205296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 205296 is about 453.0960163144. The cubic root of 205296 is about 58.9920510214.

Adding to 205296 its reverse (692502), we get a palindrome (897798).

The spelling of 205296 in words is "two hundred five thousand, two hundred ninety-six".