66245200 has 120 divisors (see below), whose sum is σ = 185434560. Its totient is φ = 22272000.

The previous prime is 66245197. The next prime is 66245227. The reversal of 66245200 is 254266.

66245200 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 (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 165000 + ... + 165400.

It is an arithmetic number, because the mean of its divisors is an integer number (1545288).

Almost surely, 2^66245200 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 66245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92717280).

66245200 is an abundant number, since it is smaller than the sum of its proper divisors (119189360).

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

66245200 is a wasteful number, since it uses less digits than its factorization.

66245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 66245200 is about 8139.1154310527. The cubic root of 66245200 is about 404.6238442087.

Adding to 66245200 its reverse (254266), we get a palindrome (66499466).

The spelling of 66245200 in words is "sixty-six million, two hundred forty-five thousand, two hundred".