266164200 has 144 divisors (see below), whose sum is σ = 907620480. Its totient is φ = 69886080.

The previous prime is 266164159. The next prime is 266164207. The reversal of 266164200 is 2461662.

It is a happy number.

266164200 is a `hidden beast` number, since 2 + 6 + 616 + 42 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (266164207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119497 + ... + 121703.

It is an arithmetic number, because the mean of its divisors is an integer number (6302920).

Almost surely, 2^266164200 is an apocalyptic number.

266164200 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 266164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453810240).

266164200 is an abundant number, since it is smaller than the sum of its proper divisors (641456280).

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

266164200 is a wasteful number, since it uses less digits than its factorization.

266164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 266164200 is about 16314.5395276729. The cubic root of 266164200 is about 643.2550636939.

The spelling of 266164200 in words is "two hundred sixty-six million, one hundred sixty-four thousand, two hundred".