8821008 has 80 divisors (see below), whose sum is σ = 28946560. Its totient is φ = 2519424.

The previous prime is 8821003. The next prime is 8821009. The reversal of 8821008 is 8001288.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8821003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 4482.

It is an arithmetic number, because the mean of its divisors is an integer number (361832).

Almost surely, 2^8821008 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 8821008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473280).

8821008 is an abundant number, since it is smaller than the sum of its proper divisors (20125552).

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

8821008 is a wasteful number, since it uses less digits than its factorization.

8821008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8821008 is about 2970.0181817625. The cubic root of 8821008 is about 206.6201814746.

The spelling of 8821008 in words is "eight million, eight hundred twenty-one thousand, eight".