8816000 has 128 divisors (see below), whose sum is σ = 23868000. Its totient is φ = 3225600.

The previous prime is 8815973. The next prime is 8816053. The reversal of 8816000 is 6188.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303986 + ... + 304014.

Almost surely, 2^8816000 is an apocalyptic number.

8816000 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 8816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).

8816000 is an abundant number, since it is smaller than the sum of its proper divisors (15052000).

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

8816000 is a wasteful number, since it uses less digits than its factorization.

8816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8816000 is about 2969.1749695833. The cubic root of 8816000 is about 206.5810721970.

The spelling of 8816000 in words is "eight million, eight hundred sixteen thousand".