9905424 has 80 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 3041280.

The previous prime is 9905419. The next prime is 9905431. The reversal of 9905424 is 4245099.

9905424 = T₁₀₇₁ + T₁₀₇₂ + ... + T₁₀₈₇.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49677 + ... + 49875.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 2^9905424 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 9905424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

9905424 is an abundant number, since it is smaller than the sum of its proper divisors (17771376).

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

9905424 is a wasteful number, since it uses less digits than its factorization.

9905424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9905424 is about 3147.2883566651. The cubic root of 9905424 is about 214.7621237864.

The spelling of 9905424 in words is "nine million, nine hundred five thousand, four hundred twenty-four".