205035008 has 80 divisors (see below), whose sum is σ = 428514240. Its totient is φ = 97929216.

The previous prime is 205034989. The next prime is 205035037. The reversal of 205035008 is 800530502.

It is a congruent number.

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, 1475003 + ... + 1475141.

It is an arithmetic number, because the mean of its divisors is an integer number (5356428).

Almost surely, 2^205035008 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 205035008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214257120).

205035008 is an abundant number, since it is smaller than the sum of its proper divisors (223479232).

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

205035008 is an equidigital number, since it uses as much as digits as its factorization.

205035008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205035008 is about 14319.0435434773. The cubic root of 205035008 is about 589.6704163256.

The spelling of 205035008 in words is "two hundred five million, thirty-five thousand, eight".