267904 has 64 divisors (see below), whose sum is σ = 685440. Its totient is φ = 101376.

The previous prime is 267901. The next prime is 267907. The reversal of 267904 is 409762.

It is an interprime number because it is at equal distance from previous prime (267901) and next prime (267907).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (267901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11637 + ... + 11659.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2²⁶⁷⁹⁰⁴ 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 267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

267904 is an abundant number, since it is smaller than the sum of its proper divisors (417536).

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

267904 is a wasteful number, since it uses less digits than its factorization.

267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 267904 is about 517.5944358279. The cubic root of 267904 is about 64.4653580778.

The spelling of 267904 in words is "two hundred sixty-seven thousand, nine hundred four".