205042656 has 192 divisors, whose sum is σ = 677376000. Its totient is φ = 53964288.

The previous prime is 205042639. The next prime is 205042687. The reversal of 205042656 is 656240502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427825 + ... + 428303.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^205042656 is an apocalyptic number.

205042656 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 205042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

205042656 is an abundant number, since it is smaller than the sum of its proper divisors (472333344).

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

205042656 is a wasteful number, since it uses less digits than its factorization.

205042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 205042656 is about 14319.3105979303. The cubic root of 205042656 is about 589.6777479895.

The spelling of 205042656 in words is "two hundred five million, forty-two thousand, six hundred fifty-six".