128679600 has 120 divisors (see below), whose sum is σ = 471120640. Its totient is φ = 29410560.

The previous prime is 128679589. The next prime is 128679611. The reversal of 128679600 is 6976821.

It is an interprime number because it is at equal distance from previous prime (128679589) and next prime (128679611).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 741 + ... + 16059.

Almost surely, 2^128679600 is an apocalyptic number.

128679600 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 128679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235560320).

128679600 is an abundant number, since it is smaller than the sum of its proper divisors (342441040).

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

128679600 is a wasteful number, since it uses less digits than its factorization.

128679600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 128679600 is about 11343.7030990766. The cubic root of 128679600 is about 504.8587651965.

The spelling of 128679600 in words is "one hundred twenty-eight million, six hundred seventy-nine thousand, six hundred".