128696256 has 224 divisors, whose sum is σ = 432694080. Its totient is φ = 37158912.

The previous prime is 128696251. The next prime is 128696263. The reversal of 128696256 is 652696821.

128696256 is a `hidden beast` number, since 12 + 8 + 6 + 9 + 625 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128696251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381720 + ... + 382056.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670).

Almost surely, 2^128696256 is an apocalyptic number.

128696256 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 128696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216347040).

128696256 is an abundant number, since it is smaller than the sum of its proper divisors (303997824).

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

128696256 is a wasteful number, since it uses less digits than its factorization.

128696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 128696256 is about 11344.4372271171. The cubic root of 128696256 is about 504.8805468537.

The spelling of 128696256 in words is "one hundred twenty-eight million, six hundred ninety-six thousand, two hundred fifty-six".