66807 has 12 divisors (see below), whose sum is σ = 104104. Its totient is φ = 41040.

The previous prime is 66797. The next prime is 66809. The reversal of 66807 is 70866.

It is not a de Polignac number, because 66807 - 2⁴ = 66791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 402.

2⁶⁶⁸⁰⁷ is an apocalyptic number.

66807 is a deficient number, since it is larger than the sum of its proper divisors (37297).

66807 is a wasteful number, since it uses less digits than its factorization.

66807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66807 is about 258.4705012182. The cubic root of 66807 is about 40.5764445532.

The spelling of 66807 in words is "sixty-six thousand, eight hundred seven".