268569 has 32 divisors (see below), whose sum is σ = 480000. Its totient is φ = 148176.

The previous prime is 268547. The next prime is 268573. The reversal of 268569 is 965862.

It is not a de Polignac number, because 268569 - 2⁵ = 268537 is a prime.

It is a super-2 number, since 2×268569² = 144258615522, which contains 22 as substring.

268569 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9247 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2²⁶⁸⁵⁶⁹ is an apocalyptic number.

268569 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

268569 is a deficient number, since it is larger than the sum of its proper divisors (211431).

268569 is an equidigital number, since it uses as much as digits as its factorization.

268569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 39 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 268569 is about 518.2364325286. The cubic root of 268569 is about 64.5186533394.

The spelling of 268569 in words is "two hundred sixty-eight thousand, five hundred sixty-nine".