267264 has 66 divisors (see below), whose sum is σ = 798330. Its totient is φ = 86016.

The previous prime is 267259. The next prime is 267271. The reversal of 267264 is 462762.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 36864 = 480^2 + 192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9202 + ... + 9230.

2²⁶⁷²⁶⁴ is an apocalyptic number.

267264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399165).

267264 is an abundant number, since it is smaller than the sum of its proper divisors (531066).

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

267264 is a wasteful number, since it uses less digits than its factorization.

267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 267264 is about 516.9758214849. The cubic root of 267264 is about 64.4139830496.

The spelling of 267264 in words is "two hundred sixty-seven thousand, two hundred sixty-four".