268736 has 56 divisors (see below), whose sum is σ = 640080. Its totient is φ = 110592.

The previous prime is 268733. The next prime is 268747. The reversal of 268736 is 637862.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 13.

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 268736.

It is not an unprimeable number, because it can be changed into a prime (268733) 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, 14135 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2²⁶⁸⁷³⁶ is an apocalyptic number.

268736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040).

268736 is an abundant number, since it is smaller than the sum of its proper divisors (371344).

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

268736 is a wasteful number, since it uses less digits than its factorization.

268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 268736 is about 518.3975308583. The cubic root of 268736 is about 64.5320234387.

The spelling of 268736 in words is "two hundred sixty-eight thousand, seven hundred thirty-six".