8086820 has 48 divisors (see below), whose sum is σ = 19837440. Its totient is φ = 2711424.

The previous prime is 8086811. The next prime is 8086843. The reversal of 8086820 is 286808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5966 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 2^8086820 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 8086820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918720).

8086820 is an abundant number, since it is smaller than the sum of its proper divisors (11750620).

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

8086820 is a wasteful number, since it uses less digits than its factorization.

8086820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8086820 is about 2843.7334614904. The cubic root of 8086820 is about 200.7208984054.

The spelling of 8086820 in words is "eight million, eighty-six thousand, eight hundred twenty".