128590 has 32 divisors (see below), whose sum is σ = 290304. Its totient is φ = 39840.

The previous prime is 128563. The next prime is 128591. The reversal of 128590 is 95821.

128590 = T₁₀₀ + T₁₀₁ + ... + T₁₂₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128591) by changing a digit.

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, 687 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹²⁸⁵⁹⁰ is an apocalyptic number.

128590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128590 is an abundant number, since it is smaller than the sum of its proper divisors (161714).

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

128590 is a wasteful number, since it uses less digits than its factorization.

128590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 128590 is about 358.5944784851. The cubic root of 128590 is about 50.4741559753.

The spelling of 128590 in words is "one hundred twenty-eight thousand, five hundred ninety".