212560 has 20 divisors (see below), whose sum is σ = 494388. Its totient is φ = 84992.

The previous prime is 212557. The next prime is 212561. The reversal of 212560 is 65212.

It is a happy number.

212560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 104976 = 328^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

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 3 ways as a sum of consecutive naturals, for example, 1249 + ... + 1408.

2²¹²⁵⁶⁰ is an apocalyptic number.

212560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212560 is an abundant number, since it is smaller than the sum of its proper divisors (281828).

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

212560 is a wasteful number, since it uses less digits than its factorization.

212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 212560 is about 461.0422974088. The cubic root of 212560 is about 59.6797754593.

Adding to 212560 its reverse (65212), we get a palindrome (277772).

The spelling of 212560 in words is "two hundred twelve thousand, five hundred sixty".