128005696 has 112 divisors (see below), whose sum is σ = 323169280. Its totient is φ = 48936960.

The previous prime is 128005663. The next prime is 128005723. The reversal of 128005696 is 696500821.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 180190 + ... + 180898.

It is an arithmetic number, because the mean of its divisors is an integer number (2885440).

Almost surely, 2^128005696 is an apocalyptic number.

128005696 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 128005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161584640).

128005696 is an abundant number, since it is smaller than the sum of its proper divisors (195163584).

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

128005696 is a wasteful number, since it uses less digits than its factorization.

128005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 128005696 is about 11313.9602261984. The cubic root of 128005696 is about 503.9758953786.

It can be divided in two parts, 12800 and 5696, that added together give a square (18496 = 136²).

The spelling of 128005696 in words is "one hundred twenty-eight million, five thousand, six hundred ninety-six".