8064128 has 24 divisors (see below), whose sum is σ = 16129515. Its totient is φ = 4016000.

The previous prime is 8064127. The next prime is 8064149. The reversal of 8064128 is 8214608.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4032064 + 4032064 = 2008^2 + 2008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2008.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8064128.

It is not an unprimeable number, because it can be changed into a prime (8064127) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32003 + ... + 32253.

Almost surely, 2^8064128 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 8064128

8064128 is an abundant number, since it is smaller than the sum of its proper divisors (8065387).

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

8064128 is an frugal number, since it uses more digits than its factorization.

8064128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8064128 is about 2839.7408332452. The cubic root of 8064128 is about 200.5329784084.

It can be divided in two parts, 8064 and 128, that added together give a 13-th power (8192 = 2¹³).

The spelling of 8064128 in words is "eight million, sixty-four thousand, one hundred twenty-eight".