128306960 has 20 divisors (see below), whose sum is σ = 298313868. Its totient is φ = 51322752.

The previous prime is 128306951. The next prime is 128306963. The reversal of 128306960 is 69603821.

It can be written as a sum of positive squares in 2 ways, for example, as 49168144 + 79138816 = 7012^2 + 8896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128306960.

It is not an unprimeable number, because it can be changed into a prime (128306963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 801839 + ... + 801998.

Almost surely, 2^128306960 is an apocalyptic number.

128306960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128306960 is an abundant number, since it is smaller than the sum of its proper divisors (170006908).

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

128306960 is a wasteful number, since it uses less digits than its factorization.

128306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603850 (or 1603844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 128306960 is about 11327.2662191722. The cubic root of 128306960 is about 504.3709581060.

The spelling of 128306960 in words is "one hundred twenty-eight million, three hundred six thousand, nine hundred sixty".