9909504 has 216 divisors, whose sum is σ = 34437312. Its totient is φ = 2703360.

The previous prime is 9909499. The next prime is 9909509. The reversal of 9909504 is 4059099.

It is an interprime number because it is at equal distance from previous prime (9909499) and next prime (9909509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909509) 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, 430837 + ... + 430859.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

Almost surely, 2^9909504 is an apocalyptic number.

9909504 is the 1683-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218656).

9909504 is an abundant number, since it is smaller than the sum of its proper divisors (24527808).

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

9909504 is a wasteful number, since it uses less digits than its factorization.

9909504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9909504 is about 3147.9364669574. The cubic root of 9909504 is about 214.7916062594.

The spelling of 9909504 in words is "nine million, nine hundred nine thousand, five hundred four".