268862 has 16 divisors (see below), whose sum is σ = 447984. Its totient is φ = 121000.

The previous prime is 268861. The next prime is 268883.

It is a happy number.

268862 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (27999).

268862 is a Friedman number, since it can be written as 82^2+8^6-6, using all its digits and the basic arithmetic operations.

2²⁶⁸⁸⁶² is an apocalyptic number.

268862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

268862 is a deficient number, since it is larger than the sum of its proper divisors (179122).

268862 is a wasteful number, since it uses less digits than its factorization.

268862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 268862 is about 518.5190449733. The cubic root of 268862 is about 64.5421073929.

It can be divided in two parts, 26 and 8862, that added together give a palindrome (8888).

The spelling of 268862 in words is "two hundred sixty-eight thousand, eight hundred sixty-two".