205688308 has 48 divisors (see below), whose sum is σ = 424771200. Its totient is φ = 85317120.

The previous prime is 205688297. The next prime is 205688323. The reversal of 205688308 is 803886502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158928 + ... + 160216.

It is an arithmetic number, because the mean of its divisors is an integer number (8849400).

Almost surely, 2^205688308 is an apocalyptic number.

205688308 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205688308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212385600).

205688308 is an abundant number, since it is smaller than the sum of its proper divisors (219082892).

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

205688308 is a wasteful number, since it uses less digits than its factorization.

205688308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 205688308 is about 14341.8376786240. The cubic root of 205688308 is about 590.2960383544.

The spelling of 205688308 in words is "two hundred five million, six hundred eighty-eight thousand, three hundred eight".