205989312 has 56 divisors (see below), whose sum is σ = 546380416. Its totient is φ = 68491008.

The previous prime is 205989293. The next prime is 205989313. The reversal of 205989312 is 213989502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205989313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92403 + ... + 94605.

Almost surely, 2^205989312 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 205989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273190208).

205989312 is an abundant number, since it is smaller than the sum of its proper divisors (340391104).

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

205989312 is a wasteful number, since it uses less digits than its factorization.

205989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 205989312 is about 14352.3277554549. The cubic root of 205989312 is about 590.5838441578.

The spelling of 205989312 in words is "two hundred five million, nine hundred eighty-nine thousand, three hundred twelve".