128607200 has 72 divisors (see below), whose sum is σ = 330525720. Its totient is φ = 48729600.

The previous prime is 128607173. The next prime is 128607209. The reversal of 128607200 is 2706821.

It is a self number, because there is not a number n which added to its sum of digits gives 128607200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128607209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10970 + ... + 19430.

It is an arithmetic number, because the mean of its divisors is an integer number (4590635).

Almost surely, 2^128607200 is an apocalyptic number.

128607200 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 128607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165262860).

128607200 is an abundant number, since it is smaller than the sum of its proper divisors (201918520).

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

128607200 is a wasteful number, since it uses less digits than its factorization.

128607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 128607200 is about 11340.5114523111. The cubic root of 128607200 is about 504.7640632342.

The spelling of 128607200 in words is "one hundred twenty-eight million, six hundred seven thousand, two hundred".