284868 has 36 divisors (see below), whose sum is σ = 741468. Its totient is φ = 92160.

The previous prime is 284857. The next prime is 284881. The reversal of 284868 is 868482.

284868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 248004 = 192^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×284868² = 162299554848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁸ + 8² + 8³ + 4 + 6⁷ + 8⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284868.

It is an unprimeable number.

284868 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1380 + ... + 1572.

2²⁸⁴⁸⁶⁸ 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 284868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370734).

284868 is an abundant number, since it is smaller than the sum of its proper divisors (456600).

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

284868 is a wasteful number, since it uses less digits than its factorization.

284868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 284868 is about 533.7302689561. The cubic root of 284868 is about 65.7982821834.

It can be divided in two parts, 2848 and 68, that added together give a square (2916 = 54²).

The spelling of 284868 in words is "two hundred eighty-four thousand, eight hundred sixty-eight".