6811992 has 128 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1987200.

The previous prime is 6811967. The next prime is 6811993. The reversal of 6811992 is 2991186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111642 + ... + 111702.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^6811992 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 6811992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

6811992 is an abundant number, since it is smaller than the sum of its proper divisors (14615208).

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

6811992 is a wasteful number, since it uses less digits than its factorization.

6811992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 6811992 is about 2609.9793102628. The cubic root of 6811992 is about 189.5649510602.

The spelling of 6811992 in words is "six million, eight hundred eleven thousand, nine hundred ninety-two".