206005680 has 120 divisors (see below), whose sum is σ = 717526992. Its totient is φ = 54929664.

The previous prime is 206005661. The next prime is 206005699. The reversal of 206005680 is 86500602.

206005680 is a `hidden beast` number, since 2 + 0 + 600 + 56 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206005661) and next prime (206005699).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 14142 + ... + 24738.

Almost surely, 2^206005680 is an apocalyptic number.

206005680 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 206005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358763496).

206005680 is an abundant number, since it is smaller than the sum of its proper divisors (511521312).

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

206005680 is a wasteful number, since it uses less digits than its factorization.

206005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10607 counting only the distinct ones).

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

The square root of 206005680 is about 14352.8979652194. The cubic root of 206005680 is about 590.5994864262.

The spelling of 206005680 in words is "two hundred six million, five thousand, six hundred eighty".