128536560 has 120 divisors (see below), whose sum is σ = 434659680. Its totient is φ = 34039296.

The previous prime is 128536553. The next prime is 128536621. The reversal of 128536560 is 65635821.

128536560 is a `hidden beast` number, since 12 + 85 + 3 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119706 + ... + 120774.

It is an arithmetic number, because the mean of its divisors is an integer number (3622164).

Almost surely, 2^128536560 is an apocalyptic number.

128536560 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 128536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217329840).

128536560 is an abundant number, since it is smaller than the sum of its proper divisors (306123120).

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

128536560 is a wasteful number, since it uses less digits than its factorization.

128536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 128536560 is about 11337.3965265399. The cubic root of 128536560 is about 504.6716291565.

The spelling of 128536560 in words is "one hundred twenty-eight million, five hundred thirty-six thousand, five hundred sixty".