266288 has 40 divisors (see below), whose sum is σ = 602640. Its totient is φ = 112640.

The previous prime is 266281. The next prime is 266291. The reversal of 266288 is 882662.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁴ + 6⁴ + 2¹⁰ + 6⁴ + 8³ + 8⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 266288.

It is not an unprimeable number, because it can be changed into a prime (266281) 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, 2948 + ... + 3036.

It is an arithmetic number, because the mean of its divisors is an integer number (15066).

2²⁶⁶²⁸⁸ 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 266288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320).

266288 is an abundant number, since it is smaller than the sum of its proper divisors (336352).

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

266288 is a wasteful number, since it uses less digits than its factorization.

266288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 266288 is about 516.0310068203. The cubic root of 266288 is about 64.3354779876.

Subtracting from 266288 its sum of digits (32), we obtain a square (266256 = 516²).

It can be divided in two parts, 2662 and 88, that multiplied together give a 4-th power (234256 = 22⁴).

The spelling of 266288 in words is "two hundred sixty-six thousand, two hundred eighty-eight".