8006436 has 36 divisors (see below), whose sum is σ = 20939100. Its totient is φ = 2576448.

The previous prime is 8006387. The next prime is 8006437. The reversal of 8006436 is 6346008.

It can be written as a sum of positive squares in 2 ways, for example, as 6200100 + 1806336 = 2490^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (8006437) 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 11 ways as a sum of consecutive naturals, for example, 2791 + ... + 4878.

Almost surely, 2^8006436 is an apocalyptic number.

It is an amenable number.

8006436 is an abundant number, since it is smaller than the sum of its proper divisors (12932664).

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

8006436 is a wasteful number, since it uses less digits than its factorization.

8006436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8006436 is about 2829.5646308222. The cubic root of 8006436 is about 200.0536189571.

The spelling of 8006436 in words is "eight million, six thousand, four hundred thirty-six".