66766167 has 64 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 38817792.

The previous prime is 66766159. The next prime is 66766177. The reversal of 66766167 is 76166766.

It is not a de Polignac number, because 66766167 - 2³ = 66766159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66766127) 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 63 ways as a sum of consecutive naturals, for example, 688263 + ... + 688359.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^66766167 is an apocalyptic number.

66766167 is a deficient number, since it is larger than the sum of its proper divisors (45847593).

66766167 is a wasteful number, since it uses less digits than its factorization.

66766167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 66766167 is about 8171.0566636146. The cubic root of 66766167 is about 405.6817598038.

The spelling of 66766167 in words is "sixty-six million, seven hundred sixty-six thousand, one hundred sixty-seven".