128021760 has 108 divisors (see below), whose sum is σ = 442981812. Its totient is φ = 34136064.

The previous prime is 128021759. The next prime is 128021771. The reversal of 128021760 is 67120821.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 112529664 = 3936^2 + 10608^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5964 + ... + 17076.

Almost surely, 2^128021760 is an apocalyptic number.

128021760 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 128021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221490906).

128021760 is an abundant number, since it is smaller than the sum of its proper divisors (314960052).

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

128021760 is a wasteful number, since it uses less digits than its factorization.

128021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 128021760 is about 11314.6701233399. The cubic root of 128021760 is about 503.9969765503.

The spelling of 128021760 in words is "one hundred twenty-eight million, twenty-one thousand, seven hundred sixty".