266364 has 54 divisors (see below), whose sum is σ = 788424. Its totient is φ = 75600.

The previous prime is 266359. The next prime is 266369. The reversal of 266364 is 463662.

266364 is a `hidden beast` number, since 26 + 636 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (266359) and next prime (266369).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1689 + ... + 1839.

2²⁶⁶³⁶⁴ 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 266364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394212).

266364 is an abundant number, since it is smaller than the sum of its proper divisors (522060).

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

266364 is a wasteful number, since it uses less digits than its factorization.

266364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 266364 is about 516.1046405527. The cubic root of 266364 is about 64.3415979670.

It can be divided in two parts, 266 and 364, that added together give a triangular number (630 = T₃₅).

The spelling of 266364 in words is "two hundred sixty-six thousand, three hundred sixty-four".