128199760 has 40 divisors (see below), whose sum is σ = 320995080. Its totient is φ = 47334912.

The previous prime is 128199733. The next prime is 128199761. The reversal of 128199760 is 67991821.

It can be written as a sum of positive squares in 4 ways, for example, as 7551504 + 120648256 = 2748^2 + 10984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128199761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60595 + ... + 62674.

It is an arithmetic number, because the mean of its divisors is an integer number (8024877).

Almost surely, 2^128199760 is an apocalyptic number.

128199760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128199760 is an abundant number, since it is smaller than the sum of its proper divisors (192795320).

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

128199760 is a wasteful number, since it uses less digits than its factorization.

128199760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123295 (or 123289 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 128199760 is about 11322.5332854446. The cubic root of 128199760 is about 504.2304522656.

The spelling of 128199760 in words is "one hundred twenty-eight million, one hundred ninety-nine thousand, seven hundred sixty".