205668320 has 192 divisors, whose sum is σ = 582966720. Its totient is φ = 67584000.

The previous prime is 205668313. The next prime is 205668383. The reversal of 205668320 is 23866502.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 31 ways as a sum of consecutive naturals, for example, 2036270 + ... + 2036370.

It is an arithmetic number, because the mean of its divisors is an integer number (3036285).

Almost surely, 2^205668320 is an apocalyptic number.

205668320 is a gapful number since it is divisible by the number (20) 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 205668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291483360).

205668320 is an abundant number, since it is smaller than the sum of its proper divisors (377298400).

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

205668320 is a wasteful number, since it uses less digits than its factorization.

205668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 205668320 is about 14341.1408193351. The cubic root of 205668320 is about 590.2769168342.

The spelling of 205668320 in words is "two hundred five million, six hundred sixty-eight thousand, three hundred twenty".