128256960 has 224 divisors, whose sum is σ = 450616320. Its totient is φ = 30707712.

The previous prime is 128256929. The next prime is 128256967. The reversal of 128256960 is 69652821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128256967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536521 + ... + 536759.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^128256960 is an apocalyptic number.

128256960 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 128256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

128256960 is an abundant number, since it is smaller than the sum of its proper divisors (322359360).

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

128256960 is a wasteful number, since it uses less digits than its factorization.

128256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 128256960 is about 11325.0589402440. The cubic root of 128256960 is about 504.3054334080.

The spelling of 128256960 in words is "one hundred twenty-eight million, two hundred fifty-six thousand, nine hundred sixty".