128640600 has 288 divisors, whose sum is σ = 483116400. Its totient is φ = 30412800.

The previous prime is 128640599. The next prime is 128640637. The reversal of 128640600 is 6046821.

128640600 is a `hidden beast` number, since 12 + 8 + 6 + 40 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1445356 + ... + 1445444.

Almost surely, 2^128640600 is an apocalyptic number.

128640600 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 128640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241558200).

128640600 is an abundant number, since it is smaller than the sum of its proper divisors (354475800).

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

128640600 is a wasteful number, since it uses less digits than its factorization.

128640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128640600 is about 11341.9839534360. The cubic root of 128640600 is about 504.8077561235.

It can be divided in two parts, 12 and 8640600, that multiplied together give a triangular number (103687200 = T₁₄₄₀₀).

The spelling of 128640600 in words is "one hundred twenty-eight million, six hundred forty thousand, six hundred".