66884800 has 84 divisors (see below), whose sum is σ = 174330360. Its totient is φ = 25169920.

The previous prime is 66884773. The next prime is 66884809. The reversal of 66884800 is 848866.

It is a happy number.

66884800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (66884809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25971 + ... + 28429.

Almost surely, 2^66884800 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 66884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87165180).

66884800 is an abundant number, since it is smaller than the sum of its proper divisors (107445560).

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

66884800 is a wasteful number, since it uses less digits than its factorization.

66884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 66884800 is about 8178.3127844318. The cubic root of 66884800 is about 405.9218952378.

The spelling of 66884800 in words is "sixty-six million, eight hundred eighty-four thousand, eight hundred".