66870585 has 24 divisors (see below), whose sum is σ = 117064584. Its totient is φ = 35308800.

The previous prime is 66870523. The next prime is 66870589. The reversal of 66870585 is 58507866.

66870585 is a `hidden beast` number, since 6 + 68 + 7 + 0 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30437289 + 36433296 = 5517^2 + 6036^2 .

It is not a de Polignac number, because 66870585 - 2⁶ = 66870521 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66870585.

It is not an unprimeable number, because it can be changed into a prime (66870589) 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 23 ways as a sum of consecutive naturals, for example, 2812 + ... + 11901.

It is an arithmetic number, because the mean of its divisors is an integer number (4877691).

Almost surely, 2^66870585 is an apocalyptic number.

It is an amenable number.

66870585 is a deficient number, since it is larger than the sum of its proper divisors (50193999).

66870585 is a wasteful number, since it uses less digits than its factorization.

66870585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14822 counting only the distinct ones).

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

The square root of 66870585 is about 8177.4436714660. The cubic root of 66870585 is about 405.8931363939.

It can be divided in two parts, 668 and 70585, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 66870585 in words is "sixty-six million, eight hundred seventy thousand, five hundred eighty-five".