268830 has 48 divisors (see below), whose sum is σ = 730080. Its totient is φ = 68544.

The previous prime is 268823. The next prime is 268841. The reversal of 268830 is 38862.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 268794 and 268803.

It is a congruent number.

It is an unprimeable number.

268830 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 23 ways as a sum of consecutive naturals, for example, 2559 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (15210).

2²⁶⁸⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365040).

268830 is an abundant number, since it is smaller than the sum of its proper divisors (461250).

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

268830 is a wasteful number, since it uses less digits than its factorization.

268830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268830 is about 518.4881869435. The cubic root of 268830 is about 64.5395466872.

The spelling of 268830 in words is "two hundred sixty-eight thousand, eight hundred thirty".