206912 has 28 divisors (see below), whose sum is σ = 425196. Its totient is φ = 99840.

The previous prime is 206911. The next prime is 206917. The reversal of 206912 is 219602.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 141376 = 256^2 + 376^2 .

It is not an unprimeable number, because it can be changed into a prime (206911) 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 3 ways as a sum of consecutive naturals, for example, 3362 + ... + 3422.

2²⁰⁶⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212598).

206912 is an abundant number, since it is smaller than the sum of its proper divisors (218284).

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

206912 is an equidigital number, since it uses as much as digits as its factorization.

206912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 206912 is about 454.8758072265. The cubic root of 206912 is about 59.1464331617.

The spelling of 206912 in words is "two hundred six thousand, nine hundred twelve".