20960 has 24 divisors (see below), whose sum is σ = 49896. Its totient is φ = 8320.

The previous prime is 20959. The next prime is 20963. The reversal of 20960 is 6902.

20960 = T₁₉ + T₂₀ + ... + T₅₀.

20960 = 14³ + 15³ + ... + 18³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

2²⁰⁹⁶⁰ is an apocalyptic number.

20960 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 20960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948).

20960 is an abundant number, since it is smaller than the sum of its proper divisors (28936).

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

20960 is a wasteful number, since it uses less digits than its factorization.

20960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 20960 is about 144.7756885668. The cubic root of 20960 is about 27.5717136512.

The spelling of 20960 in words is "twenty thousand, nine hundred sixty".