66289800 has 192 divisors, whose sum is σ = 223110720. Its totient is φ = 16220160.

The previous prime is 66289793. The next prime is 66289801. The reversal of 66289800 is 898266.

It is not an unprimeable number, because it can be changed into a prime (66289801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683352 + ... + 683448.

It is an arithmetic number, because the mean of its divisors is an integer number (1162035).

Almost surely, 2^66289800 is an apocalyptic number.

66289800 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 66289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

66289800 is an abundant number, since it is smaller than the sum of its proper divisors (156820920).

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

66289800 is a wasteful number, since it uses less digits than its factorization.

66289800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 66289800 is about 8141.8548255296. The cubic root of 66289800 is about 404.7146290256.

The spelling of 66289800 in words is "sixty-six million, two hundred eighty-nine thousand, eight hundred".