8182020 has 216 divisors, whose sum is σ = 30566592. Its totient is φ = 1626240.

The previous prime is 8182007. The next prime is 8182021. The reversal of 8182020 is 202818.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (8182021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355729 + ... + 355751.

It is an arithmetic number, because the mean of its divisors is an integer number (141512).

Almost surely, 2^8182020 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 8182020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

8182020 is an abundant number, since it is smaller than the sum of its proper divisors (22384572).

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

8182020 is a wasteful number, since it uses less digits than its factorization.

8182020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8182020 is about 2860.4230456350. The cubic root of 8182020 is about 201.5054726597.

Adding to 8182020 its reverse (202818), we get a palindrome (8384838).

The spelling of 8182020 in words is "eight million, one hundred eighty-two thousand, twenty".