128601264 has 80 divisors (see below), whose sum is σ = 365048064. Its totient is φ = 38688000.

The previous prime is 128601251. The next prime is 128601289. The reversal of 128601264 is 462106821.

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 15 ways as a sum of consecutive naturals, for example, 78922 + ... + 80534.

Almost surely, 2^128601264 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 128601264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182524032).

128601264 is an abundant number, since it is smaller than the sum of its proper divisors (236446800).

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

128601264 is a wasteful number, since it uses less digits than its factorization.

128601264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

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

The square root of 128601264 is about 11340.2497326999. The cubic root of 128601264 is about 504.7562971434.

The spelling of 128601264 in words is "one hundred twenty-eight million, six hundred one thousand, two hundred sixty-four".