66771200 has 54 divisors (see below), whose sum is σ = 165284994. Its totient is φ = 26705920.

The previous prime is 66771167. The next prime is 66771203. The reversal of 66771200 is 217766.

66771200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6801664 + 59969536 = 2608^2 + 7744^2 .

It is not an unprimeable number, because it can be changed into a prime (66771203) 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 5 ways as a sum of consecutive naturals, for example, 1184 + ... + 11616.

Almost surely, 2^66771200 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 66771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82642497).

66771200 is an abundant number, since it is smaller than the sum of its proper divisors (98513794).

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

66771200 is a wasteful number, since it uses less digits than its factorization.

66771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 66771200 is about 8171.3646351145. The cubic root of 66771200 is about 405.6919533149.

Adding to 66771200 its reverse (217766), we get a palindrome (66988966).

The spelling of 66771200 in words is "sixty-six million, seven hundred seventy-one thousand, two hundred".