285824 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 107520.

The previous prime is 285823. The next prime is 285827. The reversal of 285824 is 428582.

285824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9842 + ... + 9870.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2²⁸⁵⁸²⁴ 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 285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

285824 is an abundant number, since it is smaller than the sum of its proper divisors (448576).

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

285824 is a wasteful number, since it uses less digits than its factorization.

285824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 285824 is about 534.6251022913. The cubic root of 285824 is about 65.8718050340.

It can be divided in two parts, 2858 and 24, that added together give a palindrome (2882).

The spelling of 285824 in words is "two hundred eighty-five thousand, eight hundred twenty-four".