128577040 has 40 divisors (see below), whose sum is σ = 301920408. Its totient is φ = 50918400.

The previous prime is 128577037. The next prime is 128577077. The reversal of 128577040 is 40775821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64064016 + 64513024 = 8004^2 + 8032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128576987 and 128577005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 16036.

Almost surely, 2^128577040 is an apocalyptic number.

128577040 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 128577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150960204).

128577040 is an abundant number, since it is smaller than the sum of its proper divisors (173343368).

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

128577040 is a wasteful number, since it uses less digits than its factorization.

128577040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16021 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 128577040 is about 11339.1816283187. The cubic root of 128577040 is about 504.7246023166.

The spelling of 128577040 in words is "one hundred twenty-eight million, five hundred seventy-seven thousand, forty".