212568 has 32 divisors (see below), whose sum is σ = 563760. Its totient is φ = 66560.

The previous prime is 212561. The next prime is 212573. The reversal of 212568 is 865212.

212568 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (212561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 668.

2²¹²⁵⁶⁸ 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 212568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281880).

212568 is an abundant number, since it is smaller than the sum of its proper divisors (351192).

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

212568 is a wasteful number, since it uses less digits than its factorization.

212568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 212568 is about 461.0509733207. The cubic root of 212568 is about 59.6805241612.

It can be divided in two parts, 212 and 568, that added together give a triangular number (780 = T₃₉).

The spelling of 212568 in words is "two hundred twelve thousand, five hundred sixty-eight".