128016 has 60 divisors (see below), whose sum is σ = 412672. Its totient is φ = 36288.

The previous prime is 127997. The next prime is 128021. The reversal of 128016 is 610821.

128016 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 128016.

It is a congruent number.

It is an unprimeable number.

128016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945 + ... + 1071.

2¹²⁸⁰¹⁶ is an apocalyptic number.

128016 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 128016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206336).

128016 is an abundant number, since it is smaller than the sum of its proper divisors (284656).

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

128016 is a wasteful number, since it uses less digits than its factorization.

128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 128016 is about 357.7932363810. The cubic root of 128016 is about 50.3989417767.

Adding to 128016 its reverse (610821), we get a palindrome (738837).

It can be divided in two parts, 1280 and 16, that added together give a 4-th power (1296 = 6⁴).

The spelling of 128016 in words is "one hundred twenty-eight thousand, sixteen".