268832 has 24 divisors (see below), whose sum is σ = 548352. Its totient is φ = 129600.

The previous prime is 268823. The next prime is 268841. The reversal of 268832 is 238862.

It is an interprime number because it is at equal distance from previous prime (268823) and next prime (268841).

It is a junction number, because it is equal to n+sod(n) for n = 268795 and 268804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268832.

It is an unprimeable number.

268832 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2²⁶⁸⁸³² 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 268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176).

268832 is an abundant number, since it is smaller than the sum of its proper divisors (279520).

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

268832 is a wasteful number, since it uses less digits than its factorization.

268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 268832 is about 518.4901156242. The cubic root of 268832 is about 64.5397067372.

The spelling of 268832 in words is "two hundred sixty-eight thousand, eight hundred thirty-two".