8006144 has 40 divisors (see below), whose sum is σ = 16859040. Its totient is φ = 3787776.

The previous prime is 8006137. The next prime is 8006149. The reversal of 8006144 is 4416008.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8006149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9317 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (421476).

Almost surely, 2^8006144 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 8006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429520).

8006144 is an abundant number, since it is smaller than the sum of its proper divisors (8852896).

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

8006144 is an equidigital number, since it uses as much as digits as its factorization.

8006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8006144 is about 2829.5130323079. The cubic root of 8006144 is about 200.0511868984.

The spelling of 8006144 in words is "eight million, six thousand, one hundred forty-four".