266164128 has 72 divisors (see below), whose sum is σ = 775399716. Its totient is φ = 86553600.

The previous prime is 266164069. The next prime is 266164159. The reversal of 266164128 is 821461662.

266164128 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 641 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 262051344 + 4112784 = 16188^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 266164092 and 266164101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 23078.

Almost surely, 2^266164128 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 266164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387699858).

266164128 is an abundant number, since it is smaller than the sum of its proper divisors (509235588).

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

266164128 is a wasteful number, since it uses less digits than its factorization.

266164128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598 (or 22587 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 266164128 is about 16314.5373210520. The cubic root of 266164128 is about 643.2550056916.

The spelling of 266164128 in words is "two hundred sixty-six million, one hundred sixty-four thousand, one hundred twenty-eight".