8006128 has 40 divisors (see below), whose sum is σ = 17005856. Its totient is φ = 3628800.

The previous prime is 8006107. The next prime is 8006137. The reversal of 8006128 is 8216008.

8006128 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12373 + ... + 13003.

Almost surely, 2^8006128 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 8006128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502928).

8006128 is an abundant number, since it is smaller than the sum of its proper divisors (8999728).

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

8006128 is a wasteful number, since it uses less digits than its factorization.

8006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 8006128 is about 2829.5102049648. The cubic root of 8006128 is about 200.0510536332.

It can be divided in two parts, 80061 and 28, that added together give a square (80089 = 283²).

The spelling of 8006128 in words is "eight million, six thousand, one hundred twenty-eight".