8284000 has 96 divisors (see below), whose sum is σ = 21621600. Its totient is φ = 3110400.

The previous prime is 8283997. The next prime is 8284007. The reversal of 8284000 is 4828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8284007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75946 + ... + 76054.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^8284000 is an apocalyptic number.

8284000 is a gapful number since it is divisible by the number (80) 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 8284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810800).

8284000 is an abundant number, since it is smaller than the sum of its proper divisors (13337600).

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

8284000 is a wasteful number, since it uses less digits than its factorization.

8284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8284000 is about 2878.1938781118. The cubic root of 8284000 is about 202.3392007022.

Adding to 8284000 its reverse (4828), we get a palindrome (8288828).

The spelling of 8284000 in words is "eight million, two hundred eighty-four thousand".