266164704 has 144 divisors (see below), whose sum is σ = 845640432. Its totient is φ = 81865728.

The previous prime is 266164693. The next prime is 266164709. The reversal of 266164704 is 407461662.

266164704 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×266164704⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266164709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99772 + ... + 102404.

It is an arithmetic number, because the mean of its divisors is an integer number (5872503).

Almost surely, 2^266164704 is an apocalyptic number.

266164704 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 266164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422820216).

266164704 is an abundant number, since it is smaller than the sum of its proper divisors (579475728).

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

266164704 is a wasteful number, since it uses less digits than its factorization.

266164704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 266164704 is about 16314.5549740102. The cubic root of 266164704 is about 643.2554697093.

The spelling of 266164704 in words is "two hundred sixty-six million, one hundred sixty-four thousand, seven hundred four".