266800 has 60 divisors (see below), whose sum is σ = 691920. Its totient is φ = 98560.

The previous prime is 266797. The next prime is 266801. The reversal of 266800 is 8662.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (266801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9186 + ... + 9214.

It is an arithmetic number, because the mean of its divisors is an integer number (11532).

2²⁶⁶⁸⁰⁰ is an apocalyptic number.

266800 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 266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345960).

266800 is an abundant number, since it is smaller than the sum of its proper divisors (425120).

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

266800 is a wasteful number, since it uses less digits than its factorization.

266800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 266800 is about 516.5268628058. The cubic root of 266800 is about 64.3766848461.

The spelling of 266800 in words is "two hundred sixty-six thousand, eight hundred".