205921296 has 120 divisors (see below), whose sum is σ = 661874304. Its totient is φ = 58544640.

The previous prime is 205921253. The next prime is 205921301. The reversal of 205921296 is 692129502.

It is a happy number.

205921296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205921296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282885 + ... + 283611.

Almost surely, 2^205921296 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 205921296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330937152).

205921296 is an abundant number, since it is smaller than the sum of its proper divisors (455953008).

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

205921296 is a wasteful number, since it uses less digits than its factorization.

205921296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 205921296 is about 14349.9580487192. The cubic root of 205921296 is about 590.5188350038.

The spelling of 205921296 in words is "two hundred five million, nine hundred twenty-one thousand, two hundred ninety-six".