128586240 has 120 divisors (see below), whose sum is σ = 445410108. Its totient is φ = 34283520.

The previous prime is 128586217. The next prime is 128586247. The reversal of 128586240 is 42685821.

128586240 is a `hidden beast` number, since 1 + 28 + 5 + 8 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125081856 + 3504384 = 11184^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×128586240² = 33068842234675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128586195 and 128586204.

It is not an unprimeable number, because it can be changed into a prime (128586247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20250 + ... + 25830.

Almost surely, 2^128586240 is an apocalyptic number.

128586240 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 128586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222705054).

128586240 is an abundant number, since it is smaller than the sum of its proper divisors (316823868).

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

128586240 is an equidigital number, since it uses as much as digits as its factorization.

128586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 128586240 is about 11339.5872940773. The cubic root of 128586240 is about 504.7366401206.

The spelling of 128586240 in words is "one hundred twenty-eight million, five hundred eighty-six thousand, two hundred forty".