128916 has 18 divisors (see below), whose sum is σ = 325962. Its totient is φ = 42960.

The previous prime is 128903. The next prime is 128923. The reversal of 128916 is 619821.

128916 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 3600 = 354^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128916.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1755 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (18109).

2¹²⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

128916 is an abundant number, since it is smaller than the sum of its proper divisors (197046).

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

128916 is a wasteful number, since it uses less digits than its factorization.

128916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3586 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 128916 is about 359.0487432091. The cubic root of 128916 is about 50.5167738286.

The spelling of 128916 in words is "one hundred twenty-eight thousand, nine hundred sixteen".