268788 has 24 divisors (see below), whose sum is σ = 675808. Its totient is φ = 82656.

The previous prime is 268783. The next prime is 268789. The reversal of 268788 is 887862.

268788 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268788.

It is not an unprimeable number, because it can be changed into a prime (268781) by changing a digit.

268788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 1017.

2²⁶⁸⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

268788 is an abundant number, since it is smaller than the sum of its proper divisors (407020).

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

268788 is a wasteful number, since it uses less digits than its factorization.

268788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1741 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 268788 is about 518.4476829922. The cubic root of 268788 is about 64.5361854525.

It can be divided in two parts, 2687 and 88, that added together give a triangular number (2775 = T₇₄).

The spelling of 268788 in words is "two hundred sixty-eight thousand, seven hundred eighty-eight".