205579136 has 48 divisors (see below), whose sum is σ = 469038840. Its totient is φ = 87921408.

The previous prime is 205579133. The next prime is 205579189. The reversal of 205579136 is 631975502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 205579136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205579133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428945 + ... + 429423.

Almost surely, 2^205579136 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 205579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234519420).

205579136 is an abundant number, since it is smaller than the sum of its proper divisors (263459704).

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

205579136 is an frugal number, since it uses more digits than its factorization.

205579136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 205579136 is about 14338.0311061177. The cubic root of 205579136 is about 590.1915838612.

The spelling of 205579136 in words is "two hundred five million, five hundred seventy-nine thousand, one hundred thirty-six".