212680 has 32 divisors (see below), whose sum is σ = 516600. Its totient is φ = 78336.

The previous prime is 212677. The next prime is 212683. The reversal of 212680 is 86212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212677) and next prime (212683).

It can be written as a sum of positive squares in 4 ways, for example, as 178084 + 34596 = 422^2 + 186^2 .

It is not an unprimeable number, because it can be changed into a prime (212683) 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, 316 + ... + 724.

2²¹²⁶⁸⁰ is an apocalyptic number.

212680 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 212680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258300).

212680 is an abundant number, since it is smaller than the sum of its proper divisors (303920).

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

212680 is a wasteful number, since it uses less digits than its factorization.

212680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 212680 is about 461.1724189498. The cubic root of 212680 is about 59.6910040157.

Adding to 212680 its reverse (86212), we get a palindrome (298892).

It can be divided in two parts, 21 and 2680, that multiplied together give a triangular number (56280 = T₃₃₅).

The spelling of 212680 in words is "two hundred twelve thousand, six hundred eighty".