205853856 has 96 divisors (see below), whose sum is σ = 584998848. Its totient is φ = 63006720.

The previous prime is 205853849. The next prime is 205853863. The reversal of 205853856 is 658358502.

It is an interprime number because it is at equal distance from previous prime (205853849) and next prime (205853863).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350395 + ... + 350981.

It is an arithmetic number, because the mean of its divisors is an integer number (6093738).

Almost surely, 2^205853856 is an apocalyptic number.

205853856 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 205853856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292499424).

205853856 is an abundant number, since it is smaller than the sum of its proper divisors (379144992).

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

205853856 is a wasteful number, since it uses less digits than its factorization.

205853856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 205853856 is about 14347.6080236393. The cubic root of 205853856 is about 590.4543622507.

The spelling of 205853856 in words is "two hundred five million, eight hundred fifty-three thousand, eight hundred fifty-six".