128488640 has 112 divisors (see below), whose sum is σ = 368198400. Its totient is φ = 41720832.

The previous prime is 128488627. The next prime is 128488651. The reversal of 128488640 is 46884821.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 41051 + ... + 44069.

Almost surely, 2^128488640 is an apocalyptic number.

128488640 is a gapful number since it is divisible by the number (10) 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 128488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184099200).

128488640 is an abundant number, since it is smaller than the sum of its proper divisors (239709760).

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

128488640 is a wasteful number, since it uses less digits than its factorization.

128488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 128488640 is about 11335.2829695601. The cubic root of 128488640 is about 504.6089054447.

The spelling of 128488640 in words is "one hundred twenty-eight million, four hundred eighty-eight thousand, six hundred forty".