267280 has 40 divisors (see below), whose sum is σ = 671832. Its totient is φ = 98304.

The previous prime is 267277. The next prime is 267299. The reversal of 267280 is 82762.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 215296 = 228^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912 + ... + 1168.

2²⁶⁷²⁸⁰ is an apocalyptic number.

267280 is a gapful number since it is divisible by the number (20) 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 267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335916).

267280 is an abundant number, since it is smaller than the sum of its proper divisors (404552).

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

267280 is a wasteful number, since it uses less digits than its factorization.

267280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 267280 is about 516.9912958648. The cubic root of 267280 is about 64.4152684243.

The spelling of 267280 in words is "two hundred sixty-seven thousand, two hundred eighty".