8066500 has 96 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 2764800.

The previous prime is 8066497. The next prime is 8066501. The reversal of 8066500 is 56608.

It can be written as a sum of positive squares in 16 ways, for example, as 5798464 + 2268036 = 2408^2 + 1506^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8066501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110464 + ... + 110536.

It is an arithmetic number, because the mean of its divisors is an integer number (212121).

Almost surely, 2^8066500 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 8066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808).

8066500 is an abundant number, since it is smaller than the sum of its proper divisors (12297116).

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

8066500 is a wasteful number, since it uses less digits than its factorization.

8066500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 8066500 is about 2840.1584462843. The cubic root of 8066500 is about 200.5526382152.

The spelling of 8066500 in words is "eight million, sixty-six thousand, five hundred".