210768 has 20 divisors (see below), whose sum is σ = 544608. Its totient is φ = 70240.

The previous prime is 210761. The next prime is 210773. The reversal of 210768 is 867012.

210768 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 210768.

It is not an unprimeable number, because it can be changed into a prime (210761) by changing a digit.

210768 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, 2148 + ... + 2243.

2²¹⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

210768 is an abundant number, since it is smaller than the sum of its proper divisors (333840).

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

210768 is a wasteful number, since it uses less digits than its factorization.

210768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 210768 is about 459.0947614600. The cubic root of 210768 is about 59.5115906144.

The spelling of 210768 in words is "two hundred ten thousand, seven hundred sixty-eight".