266508864 has 126 divisors (see below), whose sum is σ = 811984914. Its totient is φ = 83558400.

The previous prime is 266508833. The next prime is 266508871. The reversal of 266508864 is 468805662.

266508864 is a `hidden beast` number, since 2 + 66 + 508 + 86 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 201867264 + 64641600 = 14208^2 + 8040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165664 + ... + 167264.

Almost surely, 2^266508864 is an apocalyptic number.

266508864 is a gapful number since it is divisible by the number (24) 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 266508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405992457).

266508864 is an abundant number, since it is smaller than the sum of its proper divisors (545476050).

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

266508864 is a wasteful number, since it uses less digits than its factorization.

266508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 266508864 is about 16325.0992033739. The cubic root of 266508864 is about 643.5326006852.

The spelling of 266508864 in words is "two hundred sixty-six million, five hundred eight thousand, eight hundred sixty-four".