20590 has 16 divisors (see below), whose sum is σ = 38880. Its totient is φ = 7840.

The previous prime is 20563. The next prime is 20593. The reversal of 20590 is 9502.

20590 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

20590 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20593) by changing a digit.

20590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2²⁰⁵⁹⁰ is an apocalyptic number.

20590 is a deficient number, since it is larger than the sum of its proper divisors (18290).

20590 is a wasteful number, since it uses less digits than its factorization.

20590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 20590 is about 143.4921600646. The cubic root of 20590 is about 27.4085113949.

The spelling of 20590 in words is "twenty thousand, five hundred ninety".