9481824 has 144 divisors (see below), whose sum is σ = 30545424. Its totient is φ = 2764800.

The previous prime is 9481799. The next prime is 9481861. The reversal of 9481824 is 4281849.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129852 + ... + 129924.

It is an arithmetic number, because the mean of its divisors is an integer number (212121).

Almost surely, 2^9481824 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 9481824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272712).

9481824 is an abundant number, since it is smaller than the sum of its proper divisors (21063600).

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

9481824 is a wasteful number, since it uses less digits than its factorization.

9481824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 9481824 is about 3079.2570532516. The cubic root of 9481824 is about 211.6560222256.

It can be divided in two parts, 948 and 1824, that added together give a palindrome (2772).

The spelling of 9481824 in words is "nine million, four hundred eighty-one thousand, eight hundred twenty-four".