128766560 has 96 divisors (see below), whose sum is σ = 338349312. Its totient is φ = 45987840.

The previous prime is 128766559. The next prime is 128766569. The reversal of 128766560 is 65667821.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128766569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63482 + ... + 65478.

It is an arithmetic number, because the mean of its divisors is an integer number (3524472).

Almost surely, 2^128766560 is an apocalyptic number.

128766560 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 128766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174656).

128766560 is an abundant number, since it is smaller than the sum of its proper divisors (209582752).

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

128766560 is a wasteful number, since it uses less digits than its factorization.

128766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 128766560 is about 11347.5354152344. The cubic root of 128766560 is about 504.9724652503.

The spelling of 128766560 in words is "one hundred twenty-eight million, seven hundred sixty-six thousand, five hundred sixty".