205688120 has 32 divisors (see below), whose sum is σ = 504871920. Its totient is φ = 74795520.

The previous prime is 205688111. The next prime is 205688141. The reversal of 205688120 is 21886502.

It is a congruent number.

It is an unprimeable number.

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, 233297 + ... + 234176.

Almost surely, 2^205688120 is an apocalyptic number.

205688120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205688120 is an abundant number, since it is smaller than the sum of its proper divisors (299183800).

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

205688120 is a wasteful number, since it uses less digits than its factorization.

205688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467495 (or 467491 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 205688120 is about 14341.8311243718. The cubic root of 205688120 is about 590.2958585100.

The spelling of 205688120 in words is "two hundred five million, six hundred eighty-eight thousand, one hundred twenty".