8809416 has 144 divisors (see below), whose sum is σ = 30410640. Its totient is φ = 2278080.

The previous prime is 8809393. The next prime is 8809429. The reversal of 8809416 is 6149088.

It is a happy number.

8809416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8809416² = 155211620522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38695 + ... + 38921.

It is an arithmetic number, because the mean of its divisors is an integer number (211185).

Almost surely, 2^8809416 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 8809416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205320).

8809416 is an abundant number, since it is smaller than the sum of its proper divisors (21601224).

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

8809416 is a wasteful number, since it uses less digits than its factorization.

8809416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8809416 is about 2968.0660370012. The cubic root of 8809416 is about 206.5296328249.

It can be divided in two parts, 880 and 9416, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 8809416 in words is "eight million, eight hundred nine thousand, four hundred sixteen".