205820160 has 576 divisors, whose sum is σ = 879083520. Its totient is φ = 39813120.

The previous prime is 205820099. The next prime is 205820177. The reversal of 205820160 is 61028502.

205820160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205820160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6639345 + ... + 6639375.

Almost surely, 2^205820160 is an apocalyptic number.

205820160 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 205820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439541760).

205820160 is an abundant number, since it is smaller than the sum of its proper divisors (673263360).

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

205820160 is a wasteful number, since it uses less digits than its factorization.

205820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 205820160 is about 14346.4337031891. The cubic root of 205820160 is about 590.4221435427.

Adding to 205820160 its reverse (61028502), we get a palindrome (266848662).

The spelling of 205820160 in words is "two hundred five million, eight hundred twenty thousand, one hundred sixty".