267666 has 16 divisors (see below), whose sum is σ = 611904. Its totient is φ = 76464.

The previous prime is 267661. The next prime is 267667. The reversal of 267666 is 666762.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 267666.

It is not an unprimeable number, because it can be changed into a prime (267661) by changing a digit.

267666 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3145 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (38244).

2²⁶⁷⁶⁶⁶ is an apocalyptic number.

267666 is an abundant number, since it is smaller than the sum of its proper divisors (344238).

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

267666 is a wasteful number, since it uses less digits than its factorization.

267666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385.

The product of its digits is 18144, while the sum is 33.

The square root of 267666 is about 517.3644750077. The cubic root of 267666 is about 64.4462625550.

The spelling of 267666 in words is "two hundred sixty-seven thousand, six hundred sixty-six".