128601600 has 240 divisors, whose sum is σ = 452100528. Its totient is φ = 32112640.

The previous prime is 128601589. The next prime is 128601601. The reversal of 128601600 is 6106821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128601601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 652702 + ... + 652898.

Almost surely, 2^128601600 is an apocalyptic number.

128601600 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 128601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050264).

128601600 is an abundant number, since it is smaller than the sum of its proper divisors (323498928).

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

128601600 is a wasteful number, since it uses less digits than its factorization.

128601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 128601600 is about 11340.2645471788. The cubic root of 128601600 is about 504.7567367398.

The spelling of 128601600 in words is "one hundred twenty-eight million, six hundred one thousand, six hundred".