268842 has 32 divisors (see below), whose sum is σ = 634752. Its totient is φ = 74304.

The previous prime is 268841. The next prime is 268843. The reversal of 268842 is 248862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268841) and next prime (268843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1468 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (19836).

2²⁶⁸⁸⁴² is an apocalyptic number.

It is a pronic number, being equal to 518×519.

It is a practical number, because each smaller number is the sum of distinct divisors of 268842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317376).

268842 is an abundant number, since it is smaller than the sum of its proper divisors (365910).

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

268842 is a wasteful number, since it uses less digits than its factorization.

268842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222.

The product of its digits is 6144, while the sum is 30.

The square root of 268842 is about 518.4997589199. The cubic root of 268842 is about 64.5405069756.

It can be divided in two parts, 2688 and 42, that multiplied together give a square (112896 = 336²).

The spelling of 268842 in words is "two hundred sixty-eight thousand, eight hundred forty-two".