8016128 has 36 divisors (see below), whose sum is σ = 16182348. Its totient is φ = 3962880.

The previous prime is 8016109. The next prime is 8016133. The reversal of 8016128 is 8216108.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 4804864 = 1792^2 + 2192^2 .

It is a super-2 number, since 2×8016128² = 128516616224768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8016097 and 8016106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44198 + ... + 44378.

Almost surely, 2^8016128 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 8016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091174).

8016128 is an abundant number, since it is smaller than the sum of its proper divisors (8166220).

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

8016128 is a wasteful number, since it uses less digits than its factorization.

8016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 8016128 is about 2831.2767438030. The cubic root of 8016128 is about 200.1343097842.

The spelling of 8016128 in words is "eight million, sixteen thousand, one hundred twenty-eight".