20488 has 16 divisors (see below), whose sum is σ = 41580. Its totient is φ = 9408.

The previous prime is 20483. The next prime is 20507. The reversal of 20488 is 88402.

20488 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 324 = 142^2 + 18^2 .

20488 is an undulating number in base 14.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (20483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 202.

2²⁰⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790).

20488 is an abundant number, since it is smaller than the sum of its proper divisors (21092).

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

20488 is a wasteful number, since it uses less digits than its factorization.

20488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 20488 is about 143.1362986807. The cubic root of 20488 is about 27.3631771330.

It can be divided in two parts, 2048 and 8, that multiplied together give a 14-th power (16384 = 2¹⁴).

The spelling of 20488 in words is "twenty thousand, four hundred eighty-eight".