205306080 has 384 divisors, whose sum is σ = 798336000. Its totient is φ = 44255232.

The previous prime is 205306043. The next prime is 205306097. The reversal of 205306080 is 80603502.

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 205306080.

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 63 ways as a sum of consecutive naturals, for example, 4774539 + ... + 4774581.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^205306080 is an apocalyptic number.

205306080 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 205306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

205306080 is an abundant number, since it is smaller than the sum of its proper divisors (593029920).

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

205306080 is a wasteful number, since it uses less digits than its factorization.

205306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205306080 is about 14328.5058537169. The cubic root of 205306080 is about 589.9301650562.

Adding to 205306080 its reverse (80603502), we get a palindrome (285909582).

The spelling of 205306080 in words is "two hundred five million, three hundred six thousand, eighty".