66456585 has 64 divisors (see below), whose sum is σ = 133996800. Its totient is φ = 30979584.

The previous prime is 66456581. The next prime is 66456589. The reversal of 66456585 is 58565466.

It is a happy number.

66456585 is a `hidden beast` number, since 6 + 6 + 4 + 565 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (66456581) and next prime (66456589).

It is not a de Polignac number, because 66456585 - 2² = 66456581 is a prime.

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

It is a Curzon number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 66456585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66456581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32349 + ... + 34341.

It is an arithmetic number, because the mean of its divisors is an integer number (2093700).

Almost surely, 2^66456585 is an apocalyptic number.

66456585 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66456585 is an abundant number, since it is smaller than the sum of its proper divisors (67540215).

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

66456585 is a wasteful number, since it uses less digits than its factorization.

66456585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2033 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 66456585 is about 8152.0908360984. The cubic root of 66456585 is about 405.0537651530.

The spelling of 66456585 in words is "sixty-six million, four hundred fifty-six thousand, five hundred eighty-five".