20760 has 32 divisors (see below), whose sum is σ = 62640. Its totient is φ = 5504.

The previous prime is 20759. The next prime is 20771. The reversal of 20760 is 6702.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 206.

2²⁰⁷⁶⁰ is an apocalyptic number.

20760 is a gapful number since it is divisible by the number (20) 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 20760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31320).

20760 is an abundant number, since it is smaller than the sum of its proper divisors (41880).

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

20760 is a wasteful number, since it uses less digits than its factorization.

20760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 20760 is about 144.0833092346. The cubic root of 20760 is about 27.4837369407.

It can be divided in two parts, 20 and 760, that added together give a triangular number (780 = T₃₉).

The spelling of 20760 in words is "twenty thousand, seven hundred sixty".