267968 has 28 divisors (see below), whose sum is σ = 548640. Its totient is φ = 129792.

The previous prime is 267961. The next prime is 268003. The reversal of 267968 is 869762.

Its product of digits (36288) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (267961) by changing a digit.

267968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3353 + ... + 3431.

2²⁶⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320).

267968 is an abundant number, since it is smaller than the sum of its proper divisors (280672).

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

267968 is an equidigital number, since it uses as much as digits as its factorization.

267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 267968 is about 517.6562566028. The cubic root of 267968 is about 64.4704910787.

The spelling of 267968 in words is "two hundred sixty-seven thousand, nine hundred sixty-eight".