8800506 has 72 divisors (see below), whose sum is σ = 22610016. Its totient is φ = 2452320.

The previous prime is 8800501. The next prime is 8800511. The reversal of 8800506 is 6050088.

It is an interprime number because it is at equal distance from previous prime (8800501) and next prime (8800511).

It is a self number, because there is not a number n which added to its sum of digits gives 8800506.

It is not an unprimeable number, because it can be changed into a prime (8800501) 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 35 ways as a sum of consecutive naturals, for example, 33331 + ... + 33593.

It is an arithmetic number, because the mean of its divisors is an integer number (314028).

Almost surely, 2^8800506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8800506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11305008).

8800506 is an abundant number, since it is smaller than the sum of its proper divisors (13809510).

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

8800506 is a wasteful number, since it uses less digits than its factorization.

8800506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

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

The square root of 8800506 is about 2966.5646798949. The cubic root of 8800506 is about 206.4599800892.

The spelling of 8800506 in words is "eight million, eight hundred thousand, five hundred six".