205255368 has 48 divisors (see below), whose sum is σ = 560302080. Its totient is φ = 67876704.

The previous prime is 205255367. The next prime is 205255387. The reversal of 205255368 is 863552502.

It is a happy number.

205255368 is a `hidden beast` number, since 20 + 525 + 53 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (205255361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2080 + ... + 20367.

It is an arithmetic number, because the mean of its divisors is an integer number (11672960).

Almost surely, 2^205255368 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 205255368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280151040).

205255368 is an abundant number, since it is smaller than the sum of its proper divisors (355046712).

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

205255368 is a wasteful number, since it uses less digits than its factorization.

205255368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22586 (or 22579 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 205255368 is about 14326.7361251612. The cubic root of 205255368 is about 589.8815888003.

The spelling of 205255368 in words is "two hundred five million, two hundred fifty-five thousand, three hundred sixty-eight".