66896200 has 96 divisors (see below), whose sum is σ = 180524160. Its totient is φ = 22579200.

The previous prime is 66896197. The next prime is 66896201. The reversal of 66896200 is 269866.

66896200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66896200.

It is not an unprimeable number, because it can be changed into a prime (66896201) 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 23 ways as a sum of consecutive naturals, for example, 99064 + ... + 99736.

It is an arithmetic number, because the mean of its divisors is an integer number (1880460).

Almost surely, 2^66896200 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 66896200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90262080).

66896200 is an abundant number, since it is smaller than the sum of its proper divisors (113627960).

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

66896200 is a wasteful number, since it uses less digits than its factorization.

66896200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 66896200 is about 8179.0097200089. The cubic root of 66896200 is about 405.9449560165.

The spelling of 66896200 in words is "sixty-six million, eight hundred ninety-six thousand, two hundred".