128612064 has 144 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 34788096.

The previous prime is 128612063. The next prime is 128612119. The reversal of 128612064 is 460216821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128612063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88657 + ... + 90095.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^128612064 is an apocalyptic number.

128612064 is a gapful number since it is divisible by the number (14) 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 128612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

128612064 is an abundant number, since it is smaller than the sum of its proper divisors (285071136).

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

128612064 is a wasteful number, since it uses less digits than its factorization.

128612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 128612064 is about 11340.7259026925. The cubic root of 128612064 is about 504.7704266453.

Adding to 128612064 its reverse (460216821), we get a palindrome (588828885).

The spelling of 128612064 in words is "one hundred twenty-eight million, six hundred twelve thousand, sixty-four".