268653 has 16 divisors (see below), whose sum is σ = 446976. Its totient is φ = 139440.

The previous prime is 268643. The next prime is 268661. The reversal of 268653 is 356862.

It is not a de Polignac number, because 268653 - 2⁴ = 268637 is a prime.

It is a Curzon number.

268653 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 268653.

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 15 ways as a sum of consecutive naturals, for example, 351 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (27936).

2²⁶⁸⁶⁵³ is an apocalyptic number.

It is an amenable number.

268653 is a deficient number, since it is larger than the sum of its proper divisors (178323).

268653 is a wasteful number, since it uses less digits than its factorization.

268653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184.

The product of its digits is 8640, while the sum is 30.

The square root of 268653 is about 518.3174702825. The cubic root of 268653 is about 64.5253791119.

Subtracting 268653 from its reverse (356862), we obtain a square (88209 = 297²).

The spelling of 268653 in words is "two hundred sixty-eight thousand, six hundred fifty-three".