8916864 has 64 divisors (see below), whose sum is σ = 25850880. Its totient is φ = 2700800.

The previous prime is 8916863. The next prime is 8916883. The reversal of 8916864 is 4686198.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8916863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3169 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (403920).

Almost surely, 2^8916864 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 8916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925440).

8916864 is an abundant number, since it is smaller than the sum of its proper divisors (16934016).

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

8916864 is a wasteful number, since it uses less digits than its factorization.

8916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2127 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 8916864 is about 2986.1118532299. Note that the first 3 decimals coincide. The cubic root of 8916864 is about 207.3659190888.

The spelling of 8916864 in words is "eight million, nine hundred sixteen thousand, eight hundred sixty-four".