66585800 has 36 divisors (see below), whose sum is σ = 155080755. Its totient is φ = 26588160.

The previous prime is 66585773. The next prime is 66585809. The reversal of 66585800 is 858566.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 63266116 + 3319684 = 7954^2 + 1822^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5770.

It is not an unprimeable number, because it can be changed into a prime (66585809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115112 + ... + 115688.

Almost surely, 2^66585800 is an apocalyptic number.

It is an amenable number.

66585800 is an abundant number, since it is smaller than the sum of its proper divisors (88494955).

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

66585800 is an equidigital number, since it uses as much as digits as its factorization.

66585800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 66585800 is about 8160.0122548928. The cubic root of 66585800 is about 405.3161175696.

The spelling of 66585800 in words is "sixty-six million, five hundred eighty-five thousand, eight hundred".