267988 has 24 divisors (see below), whose sum is σ = 568512. Its totient is φ = 107904.

The previous prime is 267961. The next prime is 268003. The reversal of 267988 is 889762.

267988 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 267988.

It is a congruent number.

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, 195 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2²⁶⁷⁹⁸⁸ is an apocalyptic number.

267988 is a gapful number since it is divisible by the number (28) 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 267988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284256).

267988 is an abundant number, since it is smaller than the sum of its proper divisors (300524).

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

267988 is a wasteful number, since it uses less digits than its factorization.

267988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 267988 is about 517.6755740809. The cubic root of 267988 is about 64.4720949739.

The spelling of 267988 in words is "two hundred sixty-seven thousand, nine hundred eighty-eight".