205963808 has 54 divisors (see below), whose sum is σ = 422296119. Its totient is φ = 98882112.

The previous prime is 205963801. The next prime is 205963817. The reversal of 205963808 is 808369502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 102981904 + 102981904 = 10148^2 + 10148^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10148.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205963801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3490883 + ... + 3490941.

Almost surely, 2^205963808 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 205963808

205963808 is an abundant number, since it is smaller than the sum of its proper divisors (216332311).

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

205963808 is an frugal number, since it uses more digits than its factorization.

205963808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 205963808 is about 14351.4392309622. The cubic root of 205963808 is about 590.5594693138.

The spelling of 205963808 in words is "two hundred five million, nine hundred sixty-three thousand, eight hundred eight".