128712960 has 108 divisors (see below), whose sum is σ = 445373292. Its totient is φ = 34320384.

The previous prime is 128712959. The next prime is 128712971. The reversal of 128712960 is 69217821.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 75481344 = 7296^2 + 8688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5934 + ... + 17106.

Almost surely, 2^128712960 is an apocalyptic number.

128712960 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 128712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222686646).

128712960 is an abundant number, since it is smaller than the sum of its proper divisors (316660332).

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

128712960 is a wasteful number, since it uses less digits than its factorization.

128712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 128712960 is about 11345.1734230905. The cubic root of 128712960 is about 504.9023893949.

The spelling of 128712960 in words is "one hundred twenty-eight million, seven hundred twelve thousand, nine hundred sixty".