8064144 has 80 divisors (see below), whose sum is σ = 25266240. Its totient is φ = 2442240.

The previous prime is 8064127. The next prime is 8064149. The reversal of 8064144 is 4414608.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8064149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3904 + ... + 5600.

It is an arithmetic number, because the mean of its divisors is an integer number (315828).

Almost surely, 2^8064144 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 8064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633120).

8064144 is an abundant number, since it is smaller than the sum of its proper divisors (17202096).

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

8064144 is a wasteful number, since it uses less digits than its factorization.

8064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8064144 is about 2839.7436504023. The cubic root of 8064144 is about 200.5331110338.

It can be divided in two parts, 806 and 4144, that added together give a triangular number (4950 = T₉₉).

The spelling of 8064144 in words is "eight million, sixty-four thousand, one hundred forty-four".