128316006 has 216 divisors, whose sum is σ = 379439424. Its totient is φ = 31026240.

The previous prime is 128315977. The next prime is 128316007. The reversal of 128316006 is 600613821.

128316006 is a `hidden beast` number, since 1 + 28 + 31 + 600 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128316007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4139211 + ... + 4139241.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^128316006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128316006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

128316006 is an abundant number, since it is smaller than the sum of its proper divisors (251123418).

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

128316006 is a wasteful number, since it uses less digits than its factorization.

128316006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128316006 is about 11327.6655141296. The cubic root of 128316006 is about 504.3828110158.

Adding to 128316006 its reverse (600613821), we get a palindrome (728929827).

The spelling of 128316006 in words is "one hundred twenty-eight million, three hundred sixteen thousand, six".