10920 has 64 divisors (see below), whose sum is σ = 40320. Its totient is φ = 2304.

The previous prime is 10909. The next prime is 10937. The reversal of 10920 is 2901.

10920 = T₁₅ + T₁₆ + ... + T₄₀.

It is a happy number.

10920 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10896 and 10905.

It is a congruent number.

It is an unprimeable number.

10920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2¹⁰⁹²⁰ is an apocalyptic number.

10920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 104×105.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

10920 is an abundant number, since it is smaller than the sum of its proper divisors (29400).

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

10920 is a wasteful number, since it uses less digits than its factorization.

10920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10920 is about 104.4988038209. The cubic root of 10920 is about 22.1857550039.

The spelling of 10920 in words is "ten thousand, nine hundred twenty".