64200200 has 48 divisors (see below), whose sum is σ = 154426500. Its totient is φ = 24792320.

The previous prime is 64200197. The next prime is 64200223. The reversal of 64200200 is 200246.

64200200 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 6 ways, for example, as 10588516 + 53611684 = 3254^2 + 7322^2 .

It is an unprimeable number.

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, 266 + ... + 11334.

Almost surely, 2^64200200 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 64200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77213250).

64200200 is an abundant number, since it is smaller than the sum of its proper divisors (90226300).

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

64200200 is a wasteful number, since it uses less digits than its factorization.

64200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 64200200 is about 8012.5027301087. The cubic root of 64200200 is about 400.4166491913.

Adding to 64200200 its reverse (200246), we get a palindrome (64400446).

The spelling of 64200200 in words is "sixty-four million, two hundred thousand, two hundred".