6811120 has 40 divisors (see below), whose sum is σ = 16673040. Its totient is φ = 2580480.

The previous prime is 6811117. The next prime is 6811121. The reversal of 6811120 is 211186.

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

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 3760.

It is an arithmetic number, because the mean of its divisors is an integer number (416826).

Almost surely, 2^6811120 is an apocalyptic number.

It is an amenable number.

6811120 is an abundant number, since it is smaller than the sum of its proper divisors (9861920).

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

6811120 is a wasteful number, since it uses less digits than its factorization.

6811120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 6811120 is about 2609.8122537838. The cubic root of 6811120 is about 189.5568620073.

The spelling of 6811120 in words is "six million, eight hundred eleven thousand, one hundred twenty".