9216000 has 168 divisors, whose sum is σ = 33224724. Its totient is φ = 2457600.

The previous prime is 9215971. The next prime is 9216019. The reversal of 9216000 is 6129.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 2985984 = 2496^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 1843198 + ... + 1843202.

Almost surely, 2^9216000 is an apocalyptic number.

9216000 is a gapful number since it is divisible by the number (90) 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 9216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612362).

9216000 is an abundant number, since it is smaller than the sum of its proper divisors (24008724).

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

9216000 is an equidigital number, since it uses as much as digits as its factorization.

9216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9216000 is about 3035.7865537616. The cubic root of 9216000 is about 209.6593115367.

9216000 divided by its sum of digits (18) gives a cube (512000 = 80³).

The spelling of 9216000 in words is "nine million, two hundred sixteen thousand".