9892224 has 96 divisors (see below), whose sum is σ = 29490240. Its totient is φ = 3179520.

The previous prime is 9892159. The next prime is 9892247. The reversal of 9892224 is 4222989.

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

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 11 ways as a sum of consecutive naturals, for example, 35574 + ... + 35850.

It is an arithmetic number, because the mean of its divisors is an integer number (307190).

Almost surely, 2^9892224 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 9892224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745120).

9892224 is an abundant number, since it is smaller than the sum of its proper divisors (19598016).

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

9892224 is a wasteful number, since it uses less digits than its factorization.

9892224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9892224 is about 3145.1906142554. The cubic root of 9892224 is about 214.6666838128. Note that the first 4 decimals are identical.

The spelling of 9892224 in words is "nine million, eight hundred ninety-two thousand, two hundred twenty-four".