206605080 has 480 divisors, whose sum is σ = 834261120. Its totient is φ = 45619200.

The previous prime is 206605057. The next prime is 206605093. The reversal of 206605080 is 80506602.

206605080 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6664665 + ... + 6664695.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^206605080 is an apocalyptic number.

206605080 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 206605080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

206605080 is an abundant number, since it is smaller than the sum of its proper divisors (627656040).

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

206605080 is a wasteful number, since it uses less digits than its factorization.

206605080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 206605080 is about 14373.7635990022. The cubic root of 206605080 is about 591.1717401375.

The spelling of 206605080 in words is "two hundred six million, six hundred five thousand, eighty".