128620800 has 648 divisors, whose sum is σ = 593087040. Its totient is φ = 25804800.

The previous prime is 128620799. The next prime is 128620819. The reversal of 128620800 is 8026821.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4435186 + ... + 4435214.

Almost surely, 2^128620800 is an apocalyptic number.

128620800 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 128620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296543520).

128620800 is an abundant number, since it is smaller than the sum of its proper divisors (464466240).

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

128620800 is a wasteful number, since it uses less digits than its factorization.

128620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128620800 is about 11341.1110566822. Note that the first 3 decimals coincide. The cubic root of 128620800 is about 504.7818552637.

The spelling of 128620800 in words is "one hundred twenty-eight million, six hundred twenty thousand, eight hundred".