205256656 has 60 divisors (see below), whose sum is σ = 442035076. Its totient is φ = 92252160.

The previous prime is 205256641. The next prime is 205256663. The reversal of 205256656 is 656652502.

It can be written as a sum of positive squares in 2 ways, for example, as 161696656 + 43560000 = 12716^2 + 6600^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187246 + ... + 188338.

Almost surely, 2^205256656 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 205256656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221017538).

205256656 is an abundant number, since it is smaller than the sum of its proper divisors (236778420).

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

205256656 is a wasteful number, since it uses less digits than its factorization.

205256656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 205256656 is about 14326.7810760129. The cubic root of 205256656 is about 589.8828226550.

The spelling of 205256656 in words is "two hundred five million, two hundred fifty-six thousand, six hundred fifty-six".