268801 has 16 divisors (see below), whose sum is σ = 322560. Its totient is φ = 221760.

The previous prime is 268789. The next prime is 268811. The reversal of 268801 is 108862.

It is a cyclic number.

It is not a de Polignac number, because 268801 - 2¹³ = 260609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8656 + ... + 8686.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²⁶⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

268801 is a deficient number, since it is larger than the sum of its proper divisors (53759).

268801 is a wasteful number, since it uses less digits than its factorization.

268801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 268801 is about 518.4602202677. The cubic root of 268801 is about 64.5372258721.

It can be divided in two parts, 26 and 8801, that multiplied together give a triangular number (228826 = T₆₇₆).

The spelling of 268801 in words is "two hundred sixty-eight thousand, eight hundred one".