128801664 has 192 divisors, whose sum is σ = 397640880. Its totient is φ = 41472000.

The previous prime is 128801657. The next prime is 128801677. The reversal of 128801664 is 466108821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1275214 + ... + 1275314.

Almost surely, 2^128801664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198820440).

128801664 is an abundant number, since it is smaller than the sum of its proper divisors (268839216).

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

128801664 is an equidigital number, since it uses as much as digits as its factorization.

128801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128801664 is about 11349.0820774193. The cubic root of 128801664 is about 505.0183491683.

The spelling of 128801664 in words is "one hundred twenty-eight million, eight hundred one thousand, six hundred sixty-four".