6920 has 16 divisors (see below), whose sum is σ = 15660. Its totient is φ = 2752.

The previous prime is 6917. The next prime is 6947. The reversal of 6920 is 296.

6920 = T₁₁ + T₁₂ + ... + T₃₄.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 196 = 82^2 + 14^2 .

It is a nialpdrome in base 11.

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 3 ways as a sum of consecutive naturals, for example, 47 + ... + 126.

2⁶⁹²⁰ is an apocalyptic number.

It is an amenable number.

6920 is an abundant number, since it is smaller than the sum of its proper divisors (8740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830).

6920 is a wasteful number, since it uses less digits than its factorization.

6920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

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

The square root of 6920 is about 83.1865373723. The cubic root of 6920 is about 19.0561588691.

Subtracting from 6920 its sum of digits (17), we obtain a triangular number (6903 = T₁₁₇).

The spelling of 6920 in words is "six thousand, nine hundred twenty".