128164608 has 216 divisors, whose sum is σ = 435249360. Its totient is φ = 35758080.

The previous prime is 128164583. The next prime is 128164613. The reversal of 128164608 is 806461821.

128164608 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 646 + 0 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329278 + ... + 329666.

Almost surely, 2^128164608 is an apocalyptic number.

128164608 is a gapful number since it is divisible by the number (18) 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 128164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217624680).

128164608 is an abundant number, since it is smaller than the sum of its proper divisors (307084752).

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

128164608 is a wasteful number, since it uses less digits than its factorization.

128164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

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

The square root of 128164608 is about 11320.9808762315. The cubic root of 128164608 is about 504.1843618800.

It can be divided in two parts, 12816 and 4608, that added together give a square (17424 = 132²).

The spelling of 128164608 in words is "one hundred twenty-eight million, one hundred sixty-four thousand, six hundred eight".