8182120 has 32 divisors (see below), whose sum is σ = 18727200. Its totient is φ = 3216448.

The previous prime is 8182091. The next prime is 8182121. The reversal of 8182120 is 212818.

It is a junction number, because it is equal to n+sod(n) for n = 8182091 and 8182100.

It is not an unprimeable number, because it can be changed into a prime (8182121) 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 7 ways as a sum of consecutive naturals, for example, 627 + ... + 4093.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 2^8182120 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 8182120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363600).

8182120 is an abundant number, since it is smaller than the sum of its proper divisors (10545080).

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

8182120 is a wasteful number, since it uses less digits than its factorization.

8182120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 8182120 is about 2860.4405255135. The cubic root of 8182120 is about 201.5062935844.

Adding to 8182120 its reverse (212818), we get a palindrome (8394938).

The spelling of 8182120 in words is "eight million, one hundred eighty-two thousand, one hundred twenty".