8284144 has 40 divisors (see below), whose sum is σ = 17699760. Its totient is φ = 3755840.

The previous prime is 8284141. The next prime is 8284153. The reversal of 8284144 is 4414828.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8284141) 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, 21102 + ... + 21490.

It is an arithmetic number, because the mean of its divisors is an integer number (442494).

Almost surely, 2^8284144 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 8284144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849880).

8284144 is an abundant number, since it is smaller than the sum of its proper divisors (9415616).

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

8284144 is a wasteful number, since it uses less digits than its factorization.

8284144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 402 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 8284144 is about 2878.2188936910. The cubic root of 8284144 is about 202.3403731099.

The spelling of 8284144 in words is "eight million, two hundred eighty-four thousand, one hundred forty-four".