9832224 has 96 divisors (see below), whose sum is σ = 27748224. Its totient is φ = 3041280.

The previous prime is 9832223. The next prime is 9832231. The reversal of 9832224 is 4222389.

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

It is a junction number, because it is equal to n+sod(n) for n = 9832191 and 9832200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9832223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134652 + ... + 134724.

It is an arithmetic number, because the mean of its divisors is an integer number (289044).

Almost surely, 2^9832224 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 9832224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112).

9832224 is an abundant number, since it is smaller than the sum of its proper divisors (17916000).

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

9832224 is a wasteful number, since it uses less digits than its factorization.

9832224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 9832224 is about 3135.6377341778. The cubic root of 9832224 is about 214.2317924007.

It can be divided in two parts, 98322 and 24, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 9832224 in words is "nine million, eight hundred thirty-two thousand, two hundred twenty-four".