66266112 has 176 divisors, whose sum is σ = 201621312. Its totient is φ = 19169280.

The previous prime is 66266071. The next prime is 66266117. The reversal of 66266112 is 21166266.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66266112.

It is not an unprimeable number, because it can be changed into a prime (66266117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250278 + ... + 1250330.

Almost surely, 2^66266112 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 66266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100810656).

66266112 is an abundant number, since it is smaller than the sum of its proper divisors (135355200).

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

66266112 is a wasteful number, since it uses less digits than its factorization.

66266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 66266112 is about 8140.3999901725. The cubic root of 66266112 is about 404.6664163680. Note that the first 3 decimals are identical.

The spelling of 66266112 in words is "sixty-six million, two hundred sixty-six thousand, one hundred twelve".