8973504 has 84 divisors (see below), whose sum is σ = 26719784. Its totient is φ = 2985984.

The previous prime is 8973493. The next prime is 8973509. The reversal of 8973504 is 4053798.

8973504 is a `hidden beast` number, since 89 + 73 + 504 = 666.

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 (8973509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15264 + ... + 15840.

Almost surely, 2^8973504 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 8973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359892).

8973504 is an abundant number, since it is smaller than the sum of its proper divisors (17746280).

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

8973504 is an equidigital number, since it uses as much as digits as its factorization.

8973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8973504 is about 2995.5807450309. The cubic root of 8973504 is about 207.8040561025.

The spelling of 8973504 in words is "eight million, nine hundred seventy-three thousand, five hundred four".