268242 has 32 divisors (see below), whose sum is σ = 611520. Its totient is φ = 77760.

The previous prime is 268237. The next prime is 268253. The reversal of 268242 is 242862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2²⁶⁸²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

268242 is an abundant number, since it is smaller than the sum of its proper divisors (343278).

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

268242 is a wasteful number, since it uses less digits than its factorization.

268242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 1536, while the sum is 24.

The square root of 268242 is about 517.9208433728. The cubic root of 268242 is about 64.4924575039.

The spelling of 268242 in words is "two hundred sixty-eight thousand, two hundred forty-two".