8005536 has 216 divisors, whose sum is σ = 29955744. Its totient is φ = 1969920.

The previous prime is 8005531. The next prime is 8005549. The reversal of 8005536 is 6355008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 421335 + ... + 421353.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^8005536 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 8005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

8005536 is an abundant number, since it is smaller than the sum of its proper divisors (21950208).

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

8005536 is a wasteful number, since it uses less digits than its factorization.

8005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 8005536 is about 2829.4055912859. The cubic root of 8005536 is about 200.0461226960.

It can be divided in two parts, 800 and 5536, that added together give a palindrome (6336).

The spelling of 8005536 in words is "eight million, five thousand, five hundred thirty-six".