66805200 has 360 divisors, whose sum is σ = 290237376. Its totient is φ = 13824000.

The previous prime is 66805181. The next prime is 66805201. The reversal of 66805200 is 250866.

66805200 is a `hidden beast` number, since 66 + 80 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66805201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277080 + ... + 277320.

Almost surely, 2^66805200 is an apocalyptic number.

66805200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145118688).

66805200 is an abundant number, since it is smaller than the sum of its proper divisors (223432176).

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

66805200 is a wasteful number, since it uses less digits than its factorization.

66805200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66805200 is about 8173.4448062001. Note that the first 3 decimals coincide. The cubic root of 66805200 is about 405.7608012905.

The spelling of 66805200 in words is "sixty-six million, eight hundred five thousand, two hundred".