205643256 has 96 divisors (see below), whose sum is σ = 636312960. Its totient is φ = 54228096.

The previous prime is 205643239. The next prime is 205643267. The reversal of 205643256 is 652346502.

It is a congruent number.

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, 24771 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (6628260).

Almost surely, 2^205643256 is an apocalyptic number.

205643256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205643256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318156480).

205643256 is an abundant number, since it is smaller than the sum of its proper divisors (430669704).

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

205643256 is a wasteful number, since it uses less digits than its factorization.

205643256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 205643256 is about 14340.2669431221. The cubic root of 205643256 is about 590.2529376077.

Adding to 205643256 its reverse (652346502), we get a palindrome (857989758).

The spelling of 205643256 in words is "two hundred five million, six hundred forty-three thousand, two hundred fifty-six".