128880960 has 224 divisors, whose sum is σ = 460857600. Its totient is φ = 30277632.

The previous prime is 128880929. The next prime is 128881013. The reversal of 128880960 is 69088821.

It is a super-2 number, since 2×128880960² = 33220603701043200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286816 + ... + 287264.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^128880960 is an apocalyptic number.

128880960 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 128880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

128880960 is an abundant number, since it is smaller than the sum of its proper divisors (331976640).

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

128880960 is a wasteful number, since it uses less digits than its factorization.

128880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 128880960 is about 11352.5750382898. The cubic root of 128880960 is about 505.1219651169.

The spelling of 128880960 in words is "one hundred twenty-eight million, eight hundred eighty thousand, nine hundred sixty".