128066400 has 648 divisors, whose sum is σ = 592227720. Its totient is φ = 26611200.

The previous prime is 128066387. The next prime is 128066401. The reversal of 128066400 is 4660821.

128066400 = 30³ + 31³ + ... + 150³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

128066400 is a `hidden beast` number, since 12 + 8 + 0 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128066401) 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 107 ways as a sum of consecutive naturals, for example, 11642395 + ... + 11642405.

Almost surely, 2^128066400 is an apocalyptic number.

128066400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128066400 is the 6534-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296113860).

128066400 is an abundant number, since it is smaller than the sum of its proper divisors (464161320).

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

128066400 is a wasteful number, since it uses less digits than its factorization.

128066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

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

The square root of 128066400 is about 11316.6426116583. The cubic root of 128066400 is about 504.0555494328.

The spelling of 128066400 in words is "one hundred twenty-eight million, sixty-six thousand, four hundred".