128560000 has 80 divisors (see below), whose sum is σ = 320241240. Its totient is φ = 51392000.

The previous prime is 128559953. The next prime is 128560013. The reversal of 128560000 is 65821.

128560000 = T₃₀₃ + T₃₀₄ + ... + T₉₂₇.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79197 + ... + 80803.

Almost surely, 2^128560000 is an apocalyptic number.

128560000 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 128560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160120620).

128560000 is an abundant number, since it is smaller than the sum of its proper divisors (191681240).

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

128560000 is an frugal number, since it uses more digits than its factorization.

128560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 128560000 is about 11338.4302264467. The cubic root of 128560000 is about 504.7023046934.

The spelling of 128560000 in words is "one hundred twenty-eight million, five hundred sixty thousand".