205577268 has 48 divisors (see below), whose sum is σ = 520403520. Its totient is φ = 62786304.

The previous prime is 205577257. The next prime is 205577269. The reversal of 205577268 is 862775502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205577269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16563 + ... + 26181.

It is an arithmetic number, because the mean of its divisors is an integer number (10841740).

Almost surely, 2^205577268 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 205577268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260201760).

205577268 is an abundant number, since it is smaller than the sum of its proper divisors (314826252).

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

205577268 is a wasteful number, since it uses less digits than its factorization.

205577268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 205577268 is about 14337.9659645293. The cubic root of 205577268 is about 590.1897962589.

The spelling of 205577268 in words is "two hundred five million, five hundred seventy-seven thousand, two hundred sixty-eight".