66766200 has 96 divisors (see below), whose sum is σ = 208320000. Its totient is φ = 17688960.

The previous prime is 66766177. The next prime is 66766201. The reversal of 66766200 is 266766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66766201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133551 + ... + 134049.

It is an arithmetic number, because the mean of its divisors is an integer number (2170000).

Almost surely, 2^66766200 is an apocalyptic number.

66766200 is a gapful number since it is divisible by the number (60) 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 66766200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160000).

66766200 is an abundant number, since it is smaller than the sum of its proper divisors (141553800).

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

66766200 is a wasteful number, since it uses less digits than its factorization.

66766200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 66766200 is about 8171.0586829370. The cubic root of 66766200 is about 405.6818266415.

It can be divided in two parts, 66766 and 200, that added together give a palindrome (66966).

The spelling of 66766200 in words is "sixty-six million, seven hundred sixty-six thousand, two hundred".