9121824 has 72 divisors (see below), whose sum is σ = 27321840. Its totient is φ = 2878848.

The previous prime is 9121799. The next prime is 9121829. The reversal of 9121824 is 4281219.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9121829) 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 11 ways as a sum of consecutive naturals, for example, 4639 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (379470).

Almost surely, 2^9121824 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 9121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660920).

9121824 is an abundant number, since it is smaller than the sum of its proper divisors (18200016).

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

9121824 is a wasteful number, since it uses less digits than its factorization.

9121824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1691 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 9121824 is about 3020.2357523876. The cubic root of 9121824 is about 208.9427130217.

The spelling of 9121824 in words is "nine million, one hundred twenty-one thousand, eight hundred twenty-four".