8816640 has 192 divisors, whose sum is σ = 33022080. Its totient is φ = 1966080.

The previous prime is 8816629. The next prime is 8816641. The reversal of 8816640 is 466188.

8816640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (8816641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215020 + ... + 215060.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^8816640 is an apocalyptic number.

8816640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

8816640 is an abundant number, since it is smaller than the sum of its proper divisors (24205440).

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

8816640 is a wasteful number, since it uses less digits than its factorization.

8816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8816640 is about 2969.2827416735. The cubic root of 8816640 is about 206.5860710131.

The spelling of 8816640 in words is "eight million, eight hundred sixteen thousand, six hundred forty".