128617008 has 80 divisors (see below), whose sum is σ = 364664160. Its totient is φ = 38817792.

The previous prime is 128616973. The next prime is 128617031. The reversal of 128617008 is 800716821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 128617008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31128 + ... + 35016.

It is an arithmetic number, because the mean of its divisors is an integer number (4558302).

Almost surely, 2^128617008 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 128617008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182332080).

128617008 is an abundant number, since it is smaller than the sum of its proper divisors (236047152).

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

128617008 is a wasteful number, since it uses less digits than its factorization.

128617008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 128617008 is about 11340.9438760625. The cubic root of 128617008 is about 504.7768945533.

The spelling of 128617008 in words is "one hundred twenty-eight million, six hundred seventeen thousand, eight".