268768 has 24 divisors (see below), whose sum is σ = 545832. Its totient is φ = 130176.

The previous prime is 268759. The next prime is 268771. The reversal of 268768 is 867862.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1071 + ... + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2²⁶⁸⁷⁶⁸ 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 268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272916).

268768 is an abundant number, since it is smaller than the sum of its proper divisors (277064).

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

268768 is a wasteful number, since it uses less digits than its factorization.

268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 268768 is about 518.4283942841. The cubic root of 268768 is about 64.5345847415.

The spelling of 268768 in words is "two hundred sixty-eight thousand, seven hundred sixty-eight".