8642816 has 108 divisors (see below), whose sum is σ = 22020012. Its totient is φ = 3354624.

The previous prime is 8642773. The next prime is 8642819. The reversal of 8642816 is 6182468.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 5017600 = 1904^2 + 2240^2 .

Its product of digits (18432) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8642819) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 163046 + ... + 163098.

It is an arithmetic number, because the mean of its divisors is an integer number (203889).

Almost surely, 2^8642816 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 8642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010006).

8642816 is an abundant number, since it is smaller than the sum of its proper divisors (13377196).

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

8642816 is a wasteful number, since it uses less digits than its factorization.

8642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 8642816 is about 2939.8666636431. The cubic root of 8642816 is about 205.2194041994.

The spelling of 8642816 in words is "eight million, six hundred forty-two thousand, eight hundred sixteen".