8066600 has 48 divisors (see below), whose sum is σ = 19133820. Its totient is φ = 3161600.

The previous prime is 8066593. The next prime is 8066677. The reversal of 8066600 is 66608.

It can be written as a sum of positive squares in 6 ways, for example, as 1170724 + 6895876 = 1082^2 + 2626^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8066600.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10220 + ... + 10980.

Almost surely, 2^8066600 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 8066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566910).

8066600 is an abundant number, since it is smaller than the sum of its proper divisors (11067220).

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

8066600 is a wasteful number, since it uses less digits than its factorization.

8066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 8066600 is about 2840.1760508814. The cubic root of 8066600 is about 200.5534669588.

The spelling of 8066600 in words is "eight million, sixty-six thousand, six hundred".