268623 has 8 divisors (see below), whose sum is σ = 398000. Its totient is φ = 179064.

The previous prime is 268613. The next prime is 268637. The reversal of 268623 is 326862.

It is not a de Polignac number, because 268623 - 2⁴ = 268607 is a prime.

It is a super-2 number, since 2×268623² = 144316632258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9949 = 268623 / (2 + 6 + 8 + 6 + 2 + 3).

It is a d-powerful number, because it can be written as 2¹⁰ + 6² + 6⁴ + 8⁴ + 2¹⁸ + 3³ .

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268613) 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, 4948 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (49750).

2²⁶⁸⁶²³ is an apocalyptic number.

268623 is a deficient number, since it is larger than the sum of its proper divisors (129377).

268623 is an equidigital number, since it uses as much as digits as its factorization.

268623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9952 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 268623 is about 518.2885296821. The cubic root of 268623 is about 64.5229772112.

It can be divided in two parts, 26 and 8623, that added together give a square (8649 = 93²).

The spelling of 268623 in words is "two hundred sixty-eight thousand, six hundred twenty-three".