266112 has 128 divisors (see below), whose sum is σ = 979200. Its totient is φ = 69120.

The previous prime is 266111. The next prime is 266117. The reversal of 266112 is 211662.

It is a happy number.

266112 is a `hidden beast` number, since 2 + 661 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24187 + ... + 24197.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2²⁶⁶¹¹² is an apocalyptic number.

266112 is a gapful number since it is divisible by the number (22) 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 266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

266112 is an abundant number, since it is smaller than the sum of its proper divisors (713088).

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

266112 is a wasteful number, since it uses less digits than its factorization.

266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 266112 is about 515.8604462449. The cubic root of 266112 is about 64.3213009316.

Adding to 266112 its product of digits (144), we get a square (266256 = 516²).

Adding to 266112 its reverse (211662), we get a palindrome (477774).

It can be divided in two parts, 266 and 112, that multiplied together give a palindrome (29792).

The spelling of 266112 in words is "two hundred sixty-six thousand, one hundred twelve".