268617 has 16 divisors (see below), whose sum is σ = 397440. Its totient is φ = 160512.

The previous prime is 268613. The next prime is 268637. The reversal of 268617 is 716862.

It is a happy number.

It is not a de Polignac number, because 268617 - 2² = 268613 is a prime.

It is a super-3 number, since 3×268617³ = 58146253598523339, which contains 333 as substring.

268617 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268617.

It is not an unprimeable number, because it can be changed into a prime (268613) 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 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2²⁶⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

268617 is a deficient number, since it is larger than the sum of its proper divisors (128823).

268617 is a wasteful number, since it uses less digits than its factorization.

268617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its digits is 4032, while the sum is 30.

The square root of 268617 is about 518.2827413681. The cubic root of 268617 is about 64.5224968096.

The spelling of 268617 in words is "two hundred sixty-eight thousand, six hundred seventeen".