8436864 has 64 divisors (see below), whose sum is σ = 22717440. Its totient is φ = 2774016.

The previous prime is 8436821. The next prime is 8436877. The reversal of 8436864 is 4686348.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 48682 + ... + 48854.

It is an arithmetic number, because the mean of its divisors is an integer number (354960).

Almost surely, 2^8436864 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 8436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358720).

8436864 is an abundant number, since it is smaller than the sum of its proper divisors (14280576).

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

8436864 is a wasteful number, since it uses less digits than its factorization.

8436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 8436864 is about 2904.6280312632. The cubic root of 8436864 is about 203.5762059469.

The spelling of 8436864 in words is "eight million, four hundred thirty-six thousand, eight hundred sixty-four".