66333366 has 96 divisors (see below), whose sum is σ = 164975616. Its totient is φ = 19080000.

The previous prime is 66333359. The next prime is 66333419.

66333366 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 66333366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619885 + ... + 619991.

It is an arithmetic number, because the mean of its divisors is an integer number (1718496).

Almost surely, 2^66333366 is an apocalyptic number.

66333366 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 66333366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82487808).

66333366 is an abundant number, since it is smaller than the sum of its proper divisors (98642250).

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

66333366 is a wasteful number, since it uses less digits than its factorization.

66333366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The square root of 66333366 is about 8144.5298206833. The cubic root of 66333366 is about 404.8032697937.

It can be divided in two parts, 6633 and 3366, that added together give a palindrome (9999).

The spelling of 66333366 in words is "sixty-six million, three hundred thirty-three thousand, three hundred sixty-six".