9906824224 has 144 divisors (see below), whose sum is σ = 22545571104. Its totient is φ = 4248780800.

The previous prime is 9906824209. The next prime is 9906824227. The reversal of 9906824224 is 4224286099.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (9906824227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15454944 + ... + 15455584.

It is an arithmetic number, because the mean of its divisors is an integer number (156566466).

Almost surely, 2^9906824224 is an apocalyptic number.

9906824224 is the 53203-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11272785552).

9906824224 is an abundant number, since it is smaller than the sum of its proper divisors (12638746880).

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

9906824224 is a wasteful number, since it uses less digits than its factorization.

9906824224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 9906824224 is about 99533.0308189196. The cubic root of 9906824224 is about 2147.7224285217.

The spelling of 9906824224 in words is "nine billion, nine hundred six million, eight hundred twenty-four thousand, two hundred twenty-four".