8005632 has 48 divisors (see below), whose sum is σ = 21359520. Its totient is φ = 2666496.

The previous prime is 8005603. The next prime is 8005643. The reversal of 8005632 is 2365008.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5493 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (444990).

Almost surely, 2^8005632 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 8005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679760).

8005632 is an abundant number, since it is smaller than the sum of its proper divisors (13353888).

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

8005632 is a wasteful number, since it uses less digits than its factorization.

8005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 8005632 is about 2829.4225559290. The cubic root of 8005632 is about 200.0469223239.

The spelling of 8005632 in words is "eight million, five thousand, six hundred thirty-two".