9009504 has 144 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2488320.

The previous prime is 9009487. The next prime is 9009509. The reversal of 9009504 is 4059009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009509) 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, 82602 + ... + 82710.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 2^9009504 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 9009504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

9009504 is an abundant number, since it is smaller than the sum of its proper divisors (21260736).

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

9009504 is a wasteful number, since it uses less digits than its factorization.

9009504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9009504 is about 3001.5835820447. The cubic root of 9009504 is about 208.0815754978.

It can be divided in two parts, 900 and 9504, that added together give a square (10404 = 102²).

The spelling of 9009504 in words is "nine million, nine thousand, five hundred four".