8916480 has 200 divisors, whose sum is σ = 32678712. Its totient is φ = 2322432.

The previous prime is 8916469. The next prime is 8916487. The reversal of 8916480 is 846198.

It is a happy number.

8916480 is a `hidden beast` number, since 8 + 9 + 1 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8916487) 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 19 ways as a sum of consecutive naturals, for example, 207339 + ... + 207381.

Almost surely, 2^8916480 is an apocalyptic number.

8916480 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 8916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339356).

8916480 is an abundant number, since it is smaller than the sum of its proper divisors (23762232).

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

8916480 is an equidigital number, since it uses as much as digits as its factorization.

8916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

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

The square root of 8916480 is about 2986.0475548792. The cubic root of 8916480 is about 207.3629423451.

The spelling of 8916480 in words is "eight million, nine hundred sixteen thousand, four hundred eighty".