268408 has 16 divisors (see below), whose sum is σ = 575280. Its totient is φ = 115008.

The previous prime is 268403. The next prime is 268439. The reversal of 268408 is 804862.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268403) 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 3 ways as a sum of consecutive naturals, for example, 2341 + ... + 2452.

It is an arithmetic number, because the mean of its divisors is an integer number (35955).

2²⁶⁸⁴⁰⁸ is an apocalyptic number.

268408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268408 is an abundant number, since it is smaller than the sum of its proper divisors (306872).

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

268408 is a wasteful number, since it uses less digits than its factorization.

268408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 268408 is about 518.0810747364. The cubic root of 268408 is about 64.5057583546.

It can be divided in two parts, 268 and 408, that added together give a palindrome (676).

The spelling of 268408 in words is "two hundred sixty-eight thousand, four hundred eight".