6805920 has 96 divisors (see below), whose sum is σ = 23405760. Its totient is φ = 1648640.

The previous prime is 6805913. The next prime is 6805937. The reversal of 6805920 is 295086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 5924.

It is an arithmetic number, because the mean of its divisors is an integer number (243810).

Almost surely, 2^6805920 is an apocalyptic number.

6805920 is a gapful number since it is divisible by the number (60) 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 6805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702880).

6805920 is an abundant number, since it is smaller than the sum of its proper divisors (16599840).

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

6805920 is a wasteful number, since it uses less digits than its factorization.

6805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6805920 is about 2608.8158233191. The cubic root of 6805920 is about 189.5086101958.

The spelling of 6805920 in words is "six million, eight hundred five thousand, nine hundred twenty".