205838000 has 80 divisors (see below), whose sum is σ = 503137440. Its totient is φ = 81440000.

The previous prime is 205837967. The next prime is 205838029. The reversal of 205838000 is 838502.

It is a tau number, because it is divible by the number of its divisors (80).

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, 201491 + ... + 202509.

It is an arithmetic number, because the mean of its divisors is an integer number (6289218).

Almost surely, 2^205838000 is an apocalyptic number.

205838000 is a gapful number since it is divisible by the number (20) 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 205838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251568720).

205838000 is an abundant number, since it is smaller than the sum of its proper divisors (297299440).

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

205838000 is a wasteful number, since it uses less digits than its factorization.

205838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 205838000 is about 14347.0554470247. The cubic root of 205838000 is about 590.4392018437.

The spelling of 205838000 in words is "two hundred five million, eight hundred thirty-eight thousand".