20610 has 24 divisors (see below), whose sum is σ = 53820. Its totient is φ = 5472.

The previous prime is 20599. The next prime is 20611. The reversal of 20610 is 1602.

It can be written as a sum of positive squares in 2 ways, for example, as 19881 + 729 = 141^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 20592 and 20601.

It is not an unprimeable number, because it can be changed into a prime (20611) 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, 25 + ... + 204.

2²⁰⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26910).

20610 is an abundant number, since it is smaller than the sum of its proper divisors (33210).

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

20610 is a wasteful number, since it uses less digits than its factorization.

20610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20610 is about 143.5618333681. The cubic root of 20610 is about 27.4173828994.

It can be divided in two parts, 206 and 10, that added together give a cube (216 = 6³).

The spelling of 20610 in words is "twenty thousand, six hundred ten".