268863 has 24 divisors (see below), whose sum is σ = 437760. Its totient is φ = 146160.

The previous prime is 268861. The next prime is 268883. The reversal of 268863 is 368862.

It is not a de Polignac number, because 268863 - 2¹ = 268861 is a prime.

It is a d-powerful number, because it can be written as 2² + 6³ + 8⁴ + 8⁶ + 6³ + 3⁷ .

268863 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4528 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2²⁶⁸⁸⁶³ is an apocalyptic number.

268863 is a deficient number, since it is larger than the sum of its proper divisors (168897).

268863 is a wasteful number, since it uses less digits than its factorization.

268863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 268863 is about 518.5200092571. The cubic root of 268863 is about 64.5421874116.

Subtracting 268863 from its reverse (368862), we obtain a palindrome (99999).

The spelling of 268863 in words is "two hundred sixty-eight thousand, eight hundred sixty-three".