284856 has 64 divisors (see below), whose sum is σ = 846720. Its totient is φ = 78720.

The previous prime is 284839. The next prime is 284857. The reversal of 284856 is 658482.

284856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×284856² = 162285881472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284857) by changing a digit.

284856 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 15 ways as a sum of consecutive naturals, for example, 3391 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁸⁴⁸⁵⁶ is an apocalyptic number.

284856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

284856 is an abundant number, since it is smaller than the sum of its proper divisors (561864).

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

284856 is a wasteful number, since it uses less digits than its factorization.

284856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 284856 is about 533.7190272044. The cubic root of 284856 is about 65.7973582578.

It can be divided in two parts, 28 and 4856, that added together give a palindrome (4884).

The spelling of 284856 in words is "two hundred eighty-four thousand, eight hundred fifty-six".