284096 has 28 divisors (see below), whose sum is σ = 591312. Its totient is φ = 135168.

The previous prime is 284093. The next prime is 284111. The reversal of 284096 is 690482.

284096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284096.

It is not an unprimeable number, because it can be changed into a prime (284093) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1376 + ... + 1568.

2²⁸⁴⁰⁹⁶ 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 284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295656).

284096 is an abundant number, since it is smaller than the sum of its proper divisors (307216).

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

284096 is a wasteful number, since it uses less digits than its factorization.

284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 284096 is about 533.0065665637. The cubic root of 284096 is about 65.7387900332.

The spelling of 284096 in words is "two hundred eighty-four thousand, ninety-six".