128216 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 55200.

The previous prime is 128213. The next prime is 128221. The reversal of 128216 is 612821.

128216 is a modest number, since divided by 216 gives 128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 2751.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹²⁸²¹⁶ 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 128216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

128216 is an abundant number, since it is smaller than the sum of its proper divisors (148264).

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

128216 is a wasteful number, since it uses less digits than its factorization.

128216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 128216 is about 358.0726183332. The cubic root of 128216 is about 50.4251742885.

It can be divided in two parts, 12 and 8216, that added together give a palindrome (8228).

The spelling of 128216 in words is "one hundred twenty-eight thousand, two hundred sixteen".