128111616 has 66 divisors (see below), whose sum is σ = 369946122. Its totient is φ = 42700800.

The previous prime is 128111611. The next prime is 128111639. The reversal of 128111616 is 616111821.

It can be written as a sum of positive squares in only one way, i.e., 121881600 + 6230016 = 11040^2 + 2496^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 128111616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128111611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2266 + ... + 16166.

Almost surely, 2^128111616 is an apocalyptic number.

128111616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184973061).

128111616 is an abundant number, since it is smaller than the sum of its proper divisors (241834506).

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

128111616 is a wasteful number, since it uses less digits than its factorization.

128111616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13927 (or 13906 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 128111616 is about 11318.6402010135. The cubic root of 128111616 is about 504.1148642205.

The spelling of 128111616 in words is "one hundred twenty-eight million, one hundred eleven thousand, six hundred sixteen".