128680560 has 120 divisors (see below), whose sum is σ = 434292144. Its totient is φ = 34145280.

The previous prime is 128680549. The next prime is 128680567. The reversal of 128680560 is 65086821.

It is a happy number.

128680560 is a `hidden beast` number, since 12 + 8 + 6 + 80 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128680567) 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 23 ways as a sum of consecutive naturals, for example, 225075 + ... + 225645.

Almost surely, 2^128680560 is an apocalyptic number.

128680560 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 128680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217146072).

128680560 is an abundant number, since it is smaller than the sum of its proper divisors (305611584).

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

128680560 is a wasteful number, since it uses less digits than its factorization.

128680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 128680560 is about 11343.7454132222. The cubic root of 128680560 is about 504.8600206745.

The spelling of 128680560 in words is "one hundred twenty-eight million, six hundred eighty thousand, five hundred sixty".