8206120 has 64 divisors (see below), whose sum is σ = 20401920. Its totient is φ = 2951424.

The previous prime is 8206117. The next prime is 8206123. The reversal of 8206120 is 216028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8206117) and next prime (8206123).

It is not an unprimeable number, because it can be changed into a prime (8206123) 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 15 ways as a sum of consecutive naturals, for example, 22177 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (318780).

Almost surely, 2^8206120 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 8206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200960).

8206120 is an abundant number, since it is smaller than the sum of its proper divisors (12195800).

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

8206120 is a wasteful number, since it uses less digits than its factorization.

8206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8206120 is about 2864.6326116974. The cubic root of 8206120 is about 201.7031223700.

The spelling of 8206120 in words is "eight million, two hundred six thousand, one hundred twenty".