2016128 has 32 divisors (see below), whose sum is σ = 4233000. Its totient is φ = 953856.

The previous prime is 2016127. The next prime is 2016137. The reversal of 2016128 is 8216102.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2016128² = 8129544224768, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016127) 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, 2018 + ... + 2846.

2^2016128 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 2016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116500).

2016128 is an abundant number, since it is smaller than the sum of its proper divisors (2216872).

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

2016128 is an equidigital number, since it uses as much as digits as its factorization.

2016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2016128 is about 1419.9042221220. The cubic root of 2016128 is about 126.3298654879.

The spelling of 2016128 in words is "two million, sixteen thousand, one hundred twenty-eight".