212768 has 24 divisors (see below), whose sum is σ = 429660. Its totient is φ = 103680.

The previous prime is 212701. The next prime is 212777. The reversal of 212768 is 867212.

212768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

212768 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 8464 = 452^2 + 92^2 .

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212768.

It is an unprimeable number.

212768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1898 + ... + 2006.

2²¹²⁷⁶⁸ 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 212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214830).

212768 is an abundant number, since it is smaller than the sum of its proper divisors (216892).

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

212768 is a wasteful number, since it uses less digits than its factorization.

212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 212768 is about 461.2678180840. The cubic root of 212768 is about 59.6992356062.

The spelling of 212768 in words is "two hundred twelve thousand, seven hundred sixty-eight".