128316 has 36 divisors (see below), whose sum is σ = 326648. Its totient is φ = 39168.

The previous prime is 128311. The next prime is 128321. The reversal of 128316 is 613821.

It is an interprime number because it is at equal distance from previous prime (128311) and next prime (128321).

It is a junction number, because it is equal to n+sod(n) for n = 128292 and 128301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128311) by changing a digit.

128316 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450 + ... + 3486.

2¹²⁸³¹⁶ 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 128316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163324).

128316 is an abundant number, since it is smaller than the sum of its proper divisors (198332).

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

128316 is a wasteful number, since it uses less digits than its factorization.

128316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 128316 is about 358.2122275970. The cubic root of 128316 is about 50.4382803154.

It can be divided in two parts, 128 and 316, that added together give a palindrome (444).

The spelling of 128316 in words is "one hundred twenty-eight thousand, three hundred sixteen".