205984832 has 56 divisors (see below), whose sum is σ = 431109120. Its totient is φ = 97549440.

The previous prime is 205984829. The next prime is 205984841. The reversal of 205984832 is 238489502.

It is a self number, because there is not a number n which added to its sum of digits gives 205984832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4382633 + ... + 4382679.

Almost surely, 2^205984832 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 205984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215554560).

205984832 is an abundant number, since it is smaller than the sum of its proper divisors (225124288).

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

205984832 is an frugal number, since it uses more digits than its factorization.

205984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 205984832 is about 14352.1716823622. The cubic root of 205984832 is about 590.5795626496.

The spelling of 205984832 in words is "two hundred five million, nine hundred eighty-four thousand, eight hundred thirty-two".