128606400 has 336 divisors, whose sum is σ = 507085600. Its totient is φ = 31518720.

The previous prime is 128606353. The next prime is 128606407. The reversal of 128606400 is 4606821.

128606400 is a `hidden beast` number, since 12 + 8 + 6 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×128606400² = 33079212241920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (128606407) 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 47 ways as a sum of consecutive naturals, for example, 561486 + ... + 561714.

Almost surely, 2^128606400 is an apocalyptic number.

128606400 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 128606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253542800).

128606400 is an abundant number, since it is smaller than the sum of its proper divisors (378479200).

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

128606400 is a wasteful number, since it uses less digits than its factorization.

128606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

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

The square root of 128606400 is about 11340.4761804785. The cubic root of 128606400 is about 504.7630166052.

The spelling of 128606400 in words is "one hundred twenty-eight million, six hundred six thousand, four hundred".