267940 has 12 divisors (see below), whose sum is σ = 562716. Its totient is φ = 107168.

The previous prime is 267929. The next prime is 267941. The reversal of 267940 is 49762.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 224676 = 208^2 + 474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 267899 and 267908.

It is not an unprimeable number, because it can be changed into a prime (267941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6679 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (46893).

2²⁶⁷⁹⁴⁰ is an apocalyptic number.

267940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

267940 is an abundant number, since it is smaller than the sum of its proper divisors (294776).

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

267940 is a wasteful number, since it uses less digits than its factorization.

267940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13406 (or 13404 counting only the distinct ones).

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

The square root of 267940 is about 517.6292109223. The cubic root of 267940 is about 64.4682454914.

The spelling of 267940 in words is "two hundred sixty-seven thousand, nine hundred forty".