6631120 has 20 divisors (see below), whose sum is σ = 15417540. Its totient is φ = 2652416.

The previous prime is 6631109. The next prime is 6631129. The reversal of 6631120 is 211366.

It can be written as a sum of positive squares in 2 ways, for example, as 3888784 + 2742336 = 1972^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41365 + ... + 41524.

It is an arithmetic number, because the mean of its divisors is an integer number (770877).

Almost surely, 2^6631120 is an apocalyptic number.

It is an amenable number.

6631120 is an abundant number, since it is smaller than the sum of its proper divisors (8786420).

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

6631120 is a wasteful number, since it uses less digits than its factorization.

6631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82902 (or 82896 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 6631120 is about 2575.0961147111. The cubic root of 6631120 is about 187.8721025381.

Adding to 6631120 its reverse (211366), we get a palindrome (6842486).

It can be divided in two parts, 6 and 631120, that added together give a triangular number (631126 = T₁₁₂₃).

The spelling of 6631120 in words is "six million, six hundred thirty-one thousand, one hundred twenty".