8003632 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 3015936.

The previous prime is 8003629. The next prime is 8003641. The reversal of 8003632 is 2363008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33369 + ... + 33607.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^8003632 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 8003632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

8003632 is an abundant number, since it is smaller than the sum of its proper divisors (11995088).

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

8003632 is a wasteful number, since it uses less digits than its factorization.

8003632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 8003632 is about 2829.0691048470. The cubic root of 8003632 is about 200.0302620875.

The spelling of 8003632 in words is "eight million, three thousand, six hundred thirty-two".