267920 has 40 divisors (see below), whose sum is σ = 662904. Its totient is φ = 100352.

The previous prime is 267913. The next prime is 267929. The reversal of 267920 is 29762.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 132496 = 368^2 + 364^2 .

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

It is a super-2 number, since 2×267920² = 143562252800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 267920.

It is not an unprimeable number, because it can be changed into a prime (267929) by changing a digit.

267920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262 + ... + 1458.

2²⁶⁷⁹²⁰ is an apocalyptic number.

267920 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 267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452).

267920 is an abundant number, since it is smaller than the sum of its proper divisors (394984).

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

267920 is a wasteful number, since it uses less digits than its factorization.

267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 267920 is about 517.6098917138. The cubic root of 267920 is about 64.4666414047.

The spelling of 267920 in words is "two hundred sixty-seven thousand, nine hundred twenty".