8916000 has 96 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 2374400.

The previous prime is 8915999. The next prime is 8916029. The reversal of 8916000 is 6198.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8916000³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11629 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^8916000 is an apocalyptic number.

8916000 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 8916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

8916000 is an abundant number, since it is smaller than the sum of its proper divisors (20332128).

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

8916000 is a wasteful number, since it uses less digits than its factorization.

8916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8916000 is about 2985.9671799938. The cubic root of 8916000 is about 207.3592212953.

The spelling of 8916000 in words is "eight million, nine hundred sixteen thousand".