268000 has 48 divisors (see below), whose sum is σ = 668304. Its totient is φ = 105600.

The previous prime is 267961. The next prime is 268003. The reversal of 268000 is 862.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268003) by changing a digit.

268000 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 7 ways as a sum of consecutive naturals, for example, 3967 + ... + 4033.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2²⁶⁸⁰⁰⁰ is an apocalyptic number.

268000 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 268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334152).

268000 is an abundant number, since it is smaller than the sum of its proper divisors (400304).

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

268000 is an equidigital number, since it uses as much as digits as its factorization.

268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 268000 is about 517.6871642218. The cubic root of 268000 is about 64.4730572727.

Adding to 268000 its reverse (862), we get a palindrome (268862).

The spelling of 268000 in words is "two hundred sixty-eight thousand".