8066820 has 48 divisors (see below), whose sum is σ = 23321088. Its totient is φ = 2081280.

The previous prime is 8066797. The next prime is 8066827. The reversal of 8066820 is 286608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066827) 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 15 ways as a sum of consecutive naturals, for example, 309 + ... + 4028.

It is an arithmetic number, because the mean of its divisors is an integer number (485856).

Almost surely, 2^8066820 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 8066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660544).

8066820 is an abundant number, since it is smaller than the sum of its proper divisors (15254268).

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

8066820 is a wasteful number, since it uses less digits than its factorization.

8066820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8066820 is about 2840.2147806108. The cubic root of 8066820 is about 200.5552901706. Note that the first 3 decimals are identical.

It can be divided in two parts, 806 and 6820, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 8066820 in words is "eight million, sixty-six thousand, eight hundred twenty".