8805006 has 72 divisors (see below), whose sum is σ = 22674600. Its totient is φ = 2461536.

The previous prime is 8804993. The next prime is 8805011. The reversal of 8805006 is 6005088.

8805006 = 329² + 330² + ... + 395².

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 59020 + ... + 59168.

It is an arithmetic number, because the mean of its divisors is an integer number (314925).

Almost surely, 2^8805006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8805006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337300).

8805006 is an abundant number, since it is smaller than the sum of its proper divisors (13869594).

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

8805006 is a wasteful number, since it uses less digits than its factorization.

8805006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8805006 is about 2967.3230360040. The cubic root of 8805006 is about 206.4951641116.

It can be divided in two parts, 880 and 5006, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 8805006 in words is "eight million, eight hundred five thousand, six".