18006128 has 80 divisors (see below), whose sum is σ = 43300800. Its totient is φ = 7225344.

The previous prime is 18006127. The next prime is 18006137. The reversal of 18006128 is 82160081.

It is a junction number, because it is equal to n+sod(n) for n = 18006097 and 18006106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18006127) 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, 93200 + ... + 93392.

It is an arithmetic number, because the mean of its divisors is an integer number (541260).

Almost surely, 2^18006128 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 18006128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650400).

18006128 is an abundant number, since it is smaller than the sum of its proper divisors (25294672).

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

18006128 is a wasteful number, since it uses less digits than its factorization.

18006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

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

The square root of 18006128 is about 4243.3628173891. The cubic root of 18006128 is about 262.1038766081.

The spelling of 18006128 in words is "eighteen million, six thousand, one hundred twenty-eight".