268596 has 30 divisors (see below), whose sum is σ = 703010. Its totient is φ = 89424.

The previous prime is 268573. The next prime is 268607. The reversal of 268596 is 695862.

268596 is a `hidden beast` number, since 2 + 68 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 32400 = 486^2 + 180^2 .

It is a super-2 number, since 2×268596² = 144287622432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 268596.

It is a congruent number.

It is an unprimeable number.

268596 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 91 + ... + 738.

2²⁶⁸⁵⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351505).

268596 is an abundant number, since it is smaller than the sum of its proper divisors (434414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268596 is a wasteful number, since it uses less digits than its factorization.

268596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

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

The square root of 268596 is about 518.2624817600. The cubic root of 268596 is about 64.5208153478.

The spelling of 268596 in words is "two hundred sixty-eight thousand, five hundred ninety-six".