205990668 has 96 divisors (see below), whose sum is σ = 600230400. Its totient is φ = 60616512.

The previous prime is 205990663. The next prime is 205990711. The reversal of 205990668 is 866099502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205990661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29103 + ... + 35481.

It is an arithmetic number, because the mean of its divisors is an integer number (6252400).

Almost surely, 2^205990668 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 205990668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300115200).

205990668 is an abundant number, since it is smaller than the sum of its proper divisors (394239732).

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

205990668 is a wasteful number, since it uses less digits than its factorization.

205990668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 205990668 is about 14352.3749951010. The cubic root of 205990668 is about 590.5851400664.

The spelling of 205990668 in words is "two hundred five million, nine hundred ninety thousand, six hundred sixty-eight".