128664000 has 168 divisors, whose sum is σ = 460510128. Its totient is φ = 34291200.

The previous prime is 128663993. The next prime is 128664013. The reversal of 128664000 is 466821.

128664000 is a `hidden beast` number, since 12 + 8 + 6 + 640 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71107 + ... + 72893.

Almost surely, 2^128664000 is an apocalyptic number.

128664000 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 128664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230255064).

128664000 is an abundant number, since it is smaller than the sum of its proper divisors (331846128).

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

128664000 is a wasteful number, since it uses less digits than its factorization.

128664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1797 counting only the distinct ones).

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

The square root of 128664000 is about 11343.0154720868. The cubic root of 128664000 is about 504.8383628042.

It can be divided in two parts, 128 and 664000, that added together give a triangular number (664128 = T₁₁₅₂).

The spelling of 128664000 in words is "one hundred twenty-eight million, six hundred sixty-four thousand".