267120 has 120 divisors (see below), whose sum is σ = 1044576. Its totient is φ = 59904.

The previous prime is 267097. The next prime is 267131. The reversal of 267120 is 21762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 267093 and 267102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 267120.

It is an unprimeable number.

267120 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5014 + ... + 5066.

2²⁶⁷¹²⁰ is an apocalyptic number.

267120 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 267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288).

267120 is an abundant number, since it is smaller than the sum of its proper divisors (777456).

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

267120 is a wasteful number, since it uses less digits than its factorization.

267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 267120 is about 516.8365312166. The cubic root of 267120 is about 64.4024123680.

Adding to 267120 its reverse (21762), we get a palindrome (288882).

The spelling of 267120 in words is "two hundred sixty-seven thousand, one hundred twenty".