128896 has 32 divisors (see below), whose sum is σ = 275400. Its totient is φ = 59904.

The previous prime is 128879. The next prime is 128903. The reversal of 128896 is 698821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×128896² = 33228357632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2406 + ... + 2458.

2¹²⁸⁸⁹⁶ is an apocalyptic number.

128896 is a gapful number since it is divisible by the number (16) 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 128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137700).

128896 is an abundant number, since it is smaller than the sum of its proper divisors (146504).

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

128896 is an equidigital number, since it uses as much as digits as its factorization.

128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 128896 is about 359.0208907571. The cubic root of 128896 is about 50.5141613064.

It can be divided in two parts, 128 and 896, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 128896 in words is "one hundred twenty-eight thousand, eight hundred ninety-six".