268761 has 8 divisors (see below), whose sum is σ = 362304. Its totient is φ = 177200.

The previous prime is 268759. The next prime is 268771. The reversal of 268761 is 167862.

It is a happy number.

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 268761 - 2¹ = 268759 is a prime.

268761 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268761.

It is not an unprimeable number, because it can be changed into a prime (268721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (45288).

2²⁶⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

268761 is a deficient number, since it is larger than the sum of its proper divisors (93543).

268761 is a wasteful number, since it uses less digits than its factorization.

268761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991.

The product of its digits is 4032, while the sum is 30.

The square root of 268761 is about 518.4216430667. The cubic root of 268761 is about 64.5340244739.

The spelling of 268761 in words is "two hundred sixty-eight thousand, seven hundred sixty-one".