9007504 has 40 divisors (see below), whose sum is σ = 19373760. Its totient is φ = 4022400.

The previous prime is 9007499. The next prime is 9007507. The reversal of 9007504 is 4057009.

It is a super-2 number, since 2×9007504² = 162270256620032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9007507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10317 + ... + 11155.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^9007504 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 9007504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

9007504 is an abundant number, since it is smaller than the sum of its proper divisors (10366256).

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

9007504 is a wasteful number, since it uses less digits than its factorization.

9007504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 9007504 is about 3001.2504060808. The cubic root of 9007504 is about 208.0661771677.

The spelling of 9007504 in words is "nine million, seven thousand, five hundred four".