206080 has 72 divisors (see below), whose sum is σ = 588672. Its totient is φ = 67584.

The previous prime is 206077. The next prime is 206081. The reversal of 206080 is 80602.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8949 + ... + 8971.

It is an arithmetic number, because the mean of its divisors is an integer number (8176).

2²⁰⁶⁰⁸⁰ is an apocalyptic number.

206080 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 206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336).

206080 is an abundant number, since it is smaller than the sum of its proper divisors (382592).

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

206080 is an equidigital number, since it uses as much as digits as its factorization.

206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 206080 is about 453.9603506916. The cubic root of 206080 is about 59.0670500773.

206080 divided by its sum of digits (16) gives a triangular number (12880 = T₁₆₀).

Adding to 206080 its reverse (80602), we get a palindrome (286682).

The spelling of 206080 in words is "two hundred six thousand, eighty".