212760 has 64 divisors (see below), whose sum is σ = 712800. Its totient is φ = 56448.

The previous prime is 212701. The next prime is 212777. The reversal of 212760 is 67212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 1178.

2²¹²⁷⁶⁰ is an apocalyptic number.

212760 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 212760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356400).

212760 is an abundant number, since it is smaller than the sum of its proper divisors (500040).

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

212760 is a wasteful number, since it uses less digits than its factorization.

212760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 212760 is about 461.2591462508. The cubic root of 212760 is about 59.6984873736.

Adding to 212760 its reverse (67212), we get a palindrome (279972).

It can be divided in two parts, 2127 and 60, that added together give a 7-th power (2187 = 3⁷).

The spelling of 212760 in words is "two hundred twelve thousand, seven hundred sixty".