267680 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 91392.

The previous prime is 267679. The next prime is 267713. The reversal of 267680 is 86762.

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, 1001 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁶⁷⁶⁸⁰ is an apocalyptic number.

267680 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 267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

267680 is an abundant number, since it is smaller than the sum of its proper divisors (458080).

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

267680 is a wasteful number, since it uses less digits than its factorization.

267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 267680 is about 517.3780049442. The cubic root of 267680 is about 64.4473861343.

The spelling of 267680 in words is "two hundred sixty-seven thousand, six hundred eighty".