268280 has 32 divisors (see below), whose sum is σ = 637200. Its totient is φ = 101376.

The previous prime is 268271. The next prime is 268283. The reversal of 268280 is 82862.

268280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268283) by changing a digit.

268280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584 + ... + 936.

2²⁶⁸²⁸⁰ is an apocalyptic number.

268280 is a gapful number since it is divisible by the number (20) 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 268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318600).

268280 is an abundant number, since it is smaller than the sum of its proper divisors (368920).

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

268280 is a wasteful number, since it uses less digits than its factorization.

268280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 268280 is about 517.9575272163. The cubic root of 268280 is about 64.4955027612.

The spelling of 268280 in words is "two hundred sixty-eight thousand, two hundred eighty".