128689760 has 96 divisors (see below), whose sum is σ = 315342720. Its totient is φ = 49600512.

The previous prime is 128689753. The next prime is 128689763. The reversal of 128689760 is 67986821.

It is a super-2 number, since 2×128689760² = 33122108657715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128689763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819602 + ... + 819758.

It is an arithmetic number, because the mean of its divisors is an integer number (3284820).

Almost surely, 2^128689760 is an apocalyptic number.

128689760 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 128689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157671360).

128689760 is an abundant number, since it is smaller than the sum of its proper divisors (186652960).

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

128689760 is a wasteful number, since it uses less digits than its factorization.

128689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 128689760 is about 11344.1509157803. The cubic root of 128689760 is about 504.8720520217.

The spelling of 128689760 in words is "one hundred twenty-eight million, six hundred eighty-nine thousand, seven hundred sixty".