267840 has 112 divisors (see below), whose sum is σ = 975360. Its totient is φ = 69120.

The previous prime is 267833. The next prime is 267857. The reversal of 267840 is 48762.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

267840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 8625 + ... + 8655.

2²⁶⁷⁸⁴⁰ is an apocalyptic number.

267840 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 267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

267840 is an abundant number, since it is smaller than the sum of its proper divisors (707520).

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

267840 is a wasteful number, since it uses less digits than its factorization.

267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 267840 is about 517.5326076683. The cubic root of 267840 is about 64.4602242593.

The spelling of 267840 in words is "two hundred sixty-seven thousand, eight hundred forty".