128671200 has 576 divisors, whose sum is σ = 569963520. Its totient is φ = 27371520.

The previous prime is 128671189. The next prime is 128671217. The reversal of 128671200 is 2176821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3477582 + ... + 3477618.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^128671200 is an apocalyptic number.

128671200 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 128671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

128671200 is an abundant number, since it is smaller than the sum of its proper divisors (441292320).

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

128671200 is a wasteful number, since it uses less digits than its factorization.

128671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 128671200 is about 11343.3328435694. The cubic root of 128671200 is about 504.8477794979.

The spelling of 128671200 in words is "one hundred twenty-eight million, six hundred seventy-one thousand, two hundred".