268767 has 6 divisors (see below), whose sum is σ = 388232. Its totient is φ = 179172.

The previous prime is 268759. The next prime is 268771. The reversal of 268767 is 767862.

It is not a de Polignac number, because 268767 - 2³ = 268759 is a prime.

It is a Duffinian number.

268767 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14923 + ... + 14940.

2²⁶⁸⁷⁶⁷ is an apocalyptic number.

268767 is a deficient number, since it is larger than the sum of its proper divisors (119465).

268767 is a wasteful number, since it uses less digits than its factorization.

268767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29869 (or 29866 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 268767 is about 518.4274298299. The cubic root of 268767 is about 64.5345047039.

It can be divided in two parts, 268 and 767, that added together give a triangular number (1035 = T₄₅).

The spelling of 268767 in words is "two hundred sixty-eight thousand, seven hundred sixty-seven".