268681 has 8 divisors (see below), whose sum is σ = 310464. Its totient is φ = 227760.

The previous prime is 268661. The next prime is 268693. The reversal of 268681 is 186862.

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

It is a cyclic number.

It is not a de Polignac number, because 268681 - 2¹¹ = 266633 is a prime.

It is a super-2 number, since 2×268681² = 144378959522, which contains 22 as substring.

268681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (268661) 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 7 ways as a sum of consecutive naturals, for example, 771 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2²⁶⁸⁶⁸¹ is an apocalyptic number.

It is an amenable number.

268681 is a deficient number, since it is larger than the sum of its proper divisors (41783).

268681 is a wasteful number, since it uses less digits than its factorization.

268681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 4608, while the sum is 31.

The square root of 268681 is about 518.3444800516. The cubic root of 268681 is about 64.5276207245.

It can be divided in two parts, 268 and 681, that added together give a palindrome (949).

The spelling of 268681 in words is "two hundred sixty-eight thousand, six hundred eighty-one".