66033066 has 64 divisors (see below), whose sum is σ = 153809280. Its totient is φ = 18677760.

The previous prime is 66033061. The next prime is 66033067.

66033066 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66033061) 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 31 ways as a sum of consecutive naturals, for example, 256810 + ... + 257066.

It is an arithmetic number, because the mean of its divisors is an integer number (2403270).

Almost surely, 2^66033066 is an apocalyptic number.

66033066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66033066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76904640).

66033066 is an abundant number, since it is smaller than the sum of its proper divisors (87776214).

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

66033066 is a wasteful number, since it uses less digits than its factorization.

66033066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 66033066 is about 8126.0732214274. The cubic root of 66033066 is about 404.1914795031.

It can be divided in two parts, 6603 and 3066, that added together give a palindrome (9669).

The spelling of 66033066 in words is "sixty-six million, thirty-three thousand, sixty-six".