268029 has 12 divisors (see below), whose sum is σ = 401856. Its totient is φ = 178524.

The previous prime is 268013. The next prime is 268043. The reversal of 268029 is 920862.

It is not a de Polignac number, because 268029 - 2⁴ = 268013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹⁰ + 6² + 0 + 8⁴ + 2¹⁸ + 9³ .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 267993 and 268011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268049) 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 11 ways as a sum of consecutive naturals, for example, 309 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (33488).

2²⁶⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

268029 is a deficient number, since it is larger than the sum of its proper divisors (133827).

268029 is an equidigital number, since it uses as much as digits as its factorization.

268029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 268029 is about 517.7151726577. The cubic root of 268029 is about 64.4753827095.

The spelling of 268029 in words is "two hundred sixty-eight thousand, twenty-nine".