268638 has 8 divisors (see below), whose sum is σ = 537288. Its totient is φ = 89544.

The previous prime is 268637. The next prime is 268643. The reversal of 268638 is 836862.

268638 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

268638 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 268599 and 268608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22381 + ... + 22392.

It is an arithmetic number, because the mean of its divisors is an integer number (67161).

2²⁶⁸⁶³⁸ is an apocalyptic number.

268638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

268638 is a wasteful number, since it uses less digits than its factorization.

268638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44778.

The product of its digits is 13824, while the sum is 33.

The square root of 268638 is about 518.3030001843. The cubic root of 268638 is about 64.5241781839.

The spelling of 268638 in words is "two hundred sixty-eight thousand, six hundred thirty-eight".