920 has 16 divisors (see below), whose sum is σ = 2160. Its totient is φ = 352.

The previous prime is 919. The next prime is 929. The reversal of 920 is 29.

920 = T₁₁ + T₁₂ + ... + T₁₈.

920 is nontrivially palindromic in base 11.

920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

920 is an esthetic number in base 9 and base 11, because in such bases its adjacent digits differ by 1.

920 is an undulating number in base 11.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (929) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29 + ... + 51.

It is an arithmetic number, because the mean of its divisors is an integer number (135).

2⁹²⁰ 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 920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080).

920 is an abundant number, since it is smaller than the sum of its proper divisors (1240).

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

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

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

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 11.

The square root of 920 is about 30.3315017762. The cubic root of 920 is about 9.7258882622.

Subtracting from 920 its sum of digits (11), we obtain a palindrome (909).

Adding to 920 its reverse (29), we get a palindrome (949).

The spelling of 920 in words is "nine hundred twenty", and thus it is an aban number and an oban number.