66780585 has 16 divisors (see below), whose sum is σ = 118721280. Its totient is φ = 35616240.

The previous prime is 66780563. The next prime is 66780587. The reversal of 66780585 is 58508766.

66780585 is a `hidden beast` number, since 6 + 67 + 8 + 0 + 585 = 666.

It is not a de Polignac number, because 66780585 - 2⁷ = 66780457 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66780585.

It is not an unprimeable number, because it can be changed into a prime (66780587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247201 + ... + 247470.

It is an arithmetic number, because the mean of its divisors is an integer number (7420080).

Almost surely, 2^66780585 is an apocalyptic number.

It is an amenable number.

66780585 is a deficient number, since it is larger than the sum of its proper divisors (51940695).

66780585 is a wasteful number, since it uses less digits than its factorization.

66780585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494685 (or 494679 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 66780585 is about 8171.9388764234. The cubic root of 66780585 is about 405.7109597159.

The spelling of 66780585 in words is "sixty-six million, seven hundred eighty thousand, five hundred eighty-five".