128606820 has 96 divisors (see below), whose sum is σ = 389424000. Its totient is φ = 31601664.

The previous prime is 128606813. The next prime is 128606827. The reversal of 128606820 is 28606821.

It is an interprime number because it is at equal distance from previous prime (128606813) and next prime (128606827).

It is not an unprimeable number, because it can be changed into a prime (128606827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40656 + ... + 43704.

It is an arithmetic number, because the mean of its divisors is an integer number (4056500).

Almost surely, 2^128606820 is an apocalyptic number.

128606820 is a gapful number since it is divisible by the number (10) 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 128606820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194712000).

128606820 is an abundant number, since it is smaller than the sum of its proper divisors (260817180).

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

128606820 is a wasteful number, since it uses less digits than its factorization.

128606820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 128606820 is about 11340.4946982043. The cubic root of 128606820 is about 504.7635660860.

Subtracting from 128606820 its reverse (28606821), we obtain a palindrome (99999999).

The spelling of 128606820 in words is "one hundred twenty-eight million, six hundred six thousand, eight hundred twenty".