128315664 has 160 divisors (see below), whose sum is σ = 394518400. Its totient is φ = 40310784.

The previous prime is 128315651. The next prime is 128315717. The reversal of 128315664 is 466513821.

It is a happy number.

128315664 is a `hidden beast` number, since 12 + 83 + 1 + 566 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664752 + ... + 664944.

It is an arithmetic number, because the mean of its divisors is an integer number (2465740).

Almost surely, 2^128315664 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 128315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197259200).

128315664 is an abundant number, since it is smaller than the sum of its proper divisors (266202736).

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

128315664 is an equidigital number, since it uses as much as digits as its factorization.

128315664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 128315664 is about 11327.6504183348. The cubic root of 128315664 is about 504.3823629057.

The spelling of 128315664 in words is "one hundred twenty-eight million, three hundred fifteen thousand, six hundred sixty-four".