8282120 has 64 divisors (see below), whose sum is σ = 23241600. Its totient is φ = 2580480.

The previous prime is 8282107. The next prime is 8282129. The reversal of 8282120 is 212828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1736 + ... + 4424.

It is an arithmetic number, because the mean of its divisors is an integer number (363150).

Almost surely, 2^8282120 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 8282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620800).

8282120 is an abundant number, since it is smaller than the sum of its proper divisors (14959480).

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

8282120 is a wasteful number, since it uses less digits than its factorization.

8282120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 8282120 is about 2877.8672658759. The cubic root of 8282120 is about 202.3238930217.

Adding to 8282120 its reverse (212828), we get a palindrome (8494948).

The spelling of 8282120 in words is "eight million, two hundred eighty-two thousand, one hundred twenty".