128681800 has 96 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 46368000.

The previous prime is 128681759. The next prime is 128681809. The reversal of 128681800 is 8186821.

It is not an unprimeable number, because it can be changed into a prime (128681809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111225 + ... + 112375.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^128681800 is an apocalyptic number.

128681800 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 128681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

128681800 is an abundant number, since it is smaller than the sum of its proper divisors (201297080).

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

128681800 is a wasteful number, since it uses less digits than its factorization.

128681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 128681800 is about 11343.8000687600. The cubic root of 128681800 is about 504.8616423243.

The spelling of 128681800 in words is "one hundred twenty-eight million, six hundred eighty-one thousand, eight hundred".