8005504 has 64 divisors (see below), whose sum is σ = 18249840. Its totient is φ = 3465216.

The previous prime is 8005499. The next prime is 8005511. The reversal of 8005504 is 4055008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28147 + ... + 28429.

Almost surely, 2^8005504 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 8005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124920).

8005504 is an abundant number, since it is smaller than the sum of its proper divisors (10244336).

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

8005504 is a wasteful number, since it uses less digits than its factorization.

8005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 8005504 is about 2829.3999363823. The cubic root of 8005504 is about 200.0458561519.

The spelling of 8005504 in words is "eight million, five thousand, five hundred four".