8908416 has 192 divisors, whose sum is σ = 30232800. Its totient is φ = 2488320.

The previous prime is 8908411. The next prime is 8908421. The reversal of 8908416 is 6148098.

It is a happy number.

8908416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8908411) and next prime (8908421).

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

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

It is not an unprimeable number, because it can be changed into a prime (8908411) 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 23 ways as a sum of consecutive naturals, for example, 240750 + ... + 240786.

Almost surely, 2^8908416 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 8908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116400).

8908416 is an abundant number, since it is smaller than the sum of its proper divisors (21324384).

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

8908416 is a wasteful number, since it uses less digits than its factorization.

8908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

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

The square root of 8908416 is about 2984.6969695431. The cubic root of 8908416 is about 207.3004109754.

8908416 divided by its sum of digits (36) gives a triangular number (247456 = T₇₀₃).

The spelling of 8908416 in words is "eight million, nine hundred eight thousand, four hundred sixteen".