8282144 has 48 divisors (see below), whose sum is σ = 18006912. Its totient is φ = 3725568.

The previous prime is 8282137. The next prime is 8282159. The reversal of 8282144 is 4412828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17657 + ... + 18119.

It is an arithmetic number, because the mean of its divisors is an integer number (375144).

Almost surely, 2^8282144 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 8282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003456).

8282144 is an abundant number, since it is smaller than the sum of its proper divisors (9724768).

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

8282144 is a wasteful number, since it uses less digits than its factorization.

8282144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 8282144 is about 2877.8714356274. The cubic root of 8282144 is about 202.3240884535.

The spelling of 8282144 in words is "eight million, two hundred eighty-two thousand, one hundred forty-four".