285168 has 40 divisors (see below), whose sum is σ = 795088. Its totient is φ = 87552.

The previous prime is 285161. The next prime is 285179. The reversal of 285168 is 861582.

285168 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285161) by changing a digit.

285168 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, 396 + ... + 852.

2²⁸⁵¹⁶⁸ 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 285168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397544).

285168 is an abundant number, since it is smaller than the sum of its proper divisors (509920).

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

285168 is a wasteful number, since it uses less digits than its factorization.

285168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 285168 is about 534.0112358369. The cubic root of 285168 is about 65.8213718944.

The spelling of 285168 in words is "two hundred eighty-five thousand, one hundred sixty-eight".