8144896 has 48 divisors (see below), whose sum is σ = 16855020. Its totient is φ = 3932160.

The previous prime is 8144893. The next prime is 8144897. The reversal of 8144896 is 6984418.

It can be written as a sum of positive squares in 2 ways, for example, as 7398400 + 746496 = 2720^2 + 864^2 .

It is not an unprimeable number, because it can be changed into a prime (8144893) 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 3 ways as a sum of consecutive naturals, for example, 83920 + ... + 84016.

Almost surely, 2^8144896 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 8144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427510).

8144896 is an abundant number, since it is smaller than the sum of its proper divisors (8710124).

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

8144896 is an equidigital number, since it uses as much as digits as its factorization.

8144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 8144896 is about 2853.9264181124. The cubic root of 8144896 is about 201.2002492662.

The spelling of 8144896 in words is "eight million, one hundred forty-four thousand, eight hundred ninety-six".