128597760 has 216 divisors, whose sum is σ = 463947120. Its totient is φ = 33730560.

The previous prime is 128597759. The next prime is 128597767. The reversal of 128597760 is 67795821.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128597767) 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 23 ways as a sum of consecutive naturals, for example, 2108130 + ... + 2108190.

Almost surely, 2^128597760 is an apocalyptic number.

128597760 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 128597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231973560).

128597760 is an abundant number, since it is smaller than the sum of its proper divisors (335349360).

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

128597760 is an frugal number, since it uses more digits than its factorization.

128597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 128597760 is about 11340.0952376953. The cubic root of 128597760 is about 504.7517127350.

The spelling of 128597760 in words is "one hundred twenty-eight million, five hundred ninety-seven thousand, seven hundred sixty".