66266200 has 192 divisors, whose sum is σ = 207486720. Its totient is φ = 19008000.

The previous prime is 66266173. The next prime is 66266203. The reversal of 66266200 is 266266.

66266200 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66266203) 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 47 ways as a sum of consecutive naturals, for example, 200035 + ... + 200365.

It is an arithmetic number, because the mean of its divisors is an integer number (1080660).

Almost surely, 2^66266200 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 66266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103743360).

66266200 is an abundant number, since it is smaller than the sum of its proper divisors (141220520).

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

66266200 is a wasteful number, since it uses less digits than its factorization.

66266200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 66266200 is about 8140.4053953105. The cubic root of 66266200 is about 404.6665954974. Note that the first 3 decimals are identical.

It can be divided in two parts, 66266 and 200, that added together give a palindrome (66466).

The spelling of 66266200 in words is "sixty-six million, two hundred sixty-six thousand, two hundred".