6801920 has 40 divisors (see below), whose sum is σ = 16314804. Its totient is φ = 2719744.

The previous prime is 6801919. The next prime is 6801923. The reversal of 6801920 is 291086.

It can be written as a sum of positive squares in 2 ways, for example, as 6801664 + 256 = 2608^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6801920² = 92532231372800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6801920.

It is not an unprimeable number, because it can be changed into a prime (6801923) 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, 1232 + ... + 3888.

Almost surely, 2^6801920 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 6801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157402).

6801920 is an abundant number, since it is smaller than the sum of its proper divisors (9512884).

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

6801920 is an equidigital number, since it uses as much as digits as its factorization.

6801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 6801920 is about 2608.0490792928. The cubic root of 6801920 is about 189.4714766908.

The spelling of 6801920 in words is "six million, eight hundred one thousand, nine hundred twenty".