128770560 has 320 divisors, whose sum is σ = 483183360. Its totient is φ = 32845824.

The previous prime is 128770531. The next prime is 128770561. The reversal of 128770560 is 65077821.

128770560 is a `hidden beast` number, since 1 + 28 + 7 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128770561) 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 31 ways as a sum of consecutive naturals, for example, 5598709 + ... + 5598731.

It is an arithmetic number, because the mean of its divisors is an integer number (1509948).

Almost surely, 2^128770560 is an apocalyptic number.

128770560 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 128770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

128770560 is an abundant number, since it is smaller than the sum of its proper divisors (354412800).

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

128770560 is an frugal number, since it uses more digits than its factorization.

128770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 128770560 is about 11347.7116635910. The cubic root of 128770560 is about 504.9776940120.

The spelling of 128770560 in words is "one hundred twenty-eight million, seven hundred seventy thousand, five hundred sixty".