8209890 has 64 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2020032.

The previous prime is 8209867. The next prime is 8209891. The reversal of 8209890 is 989028.

It is not an unprimeable number, because it can be changed into a prime (8209891) 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 31 ways as a sum of consecutive naturals, for example, 2341 + ... + 4679.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^8209890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8209890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8209890 is an abundant number, since it is smaller than the sum of its proper divisors (15377310).

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

8209890 is a wasteful number, since it uses less digits than its factorization.

8209890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8209890 is about 2865.2905611822. The cubic root of 8209890 is about 201.7340060012.

The spelling of 8209890 in words is "eight million, two hundred nine thousand, eight hundred ninety".