128564160 has 112 divisors (see below), whose sum is σ = 411272736. Its totient is φ = 34025472.

The previous prime is 128564123. The next prime is 128564171. The reversal of 128564160 is 61465821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150294 + ... + 151146.

It is an arithmetic number, because the mean of its divisors is an integer number (3672078).

Almost surely, 2^128564160 is an apocalyptic number.

128564160 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 128564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205636368).

128564160 is an abundant number, since it is smaller than the sum of its proper divisors (282708576).

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

128564160 is a wasteful number, since it uses less digits than its factorization.

128564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 128564160 is about 11338.6136718736. The cubic root of 128564160 is about 504.7077484264.

The spelling of 128564160 in words is "one hundred twenty-eight million, five hundred sixty-four thousand, one hundred sixty".