268032 has 36 divisors (see below), whose sum is σ = 715400. Its totient is φ = 89088.

The previous prime is 268013. The next prime is 268043. The reversal of 268032 is 230862.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

268032 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, 594 + ... + 942.

2²⁶⁸⁰³² 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 268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357700).

268032 is an abundant number, since it is smaller than the sum of its proper divisors (447368).

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

268032 is an equidigital number, since it uses as much as digits as its factorization.

268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 268032 is about 517.7180699956. The cubic root of 268032 is about 64.4756232624.

Adding to 268032 its reverse (230862), we get a palindrome (498894).

The spelling of 268032 in words is "two hundred sixty-eight thousand, thirty-two".