6631872 has 56 divisors (see below), whose sum is σ = 18903696. Its totient is φ = 2039808.

The previous prime is 6631871. The next prime is 6631883. The reversal of 6631872 is 2781366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631871) 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, 1168 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (337566).

Almost surely, 2^6631872 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 6631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451848).

6631872 is an abundant number, since it is smaller than the sum of its proper divisors (12271824).

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

6631872 is a wasteful number, since it uses less digits than its factorization.

6631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 6631872 is about 2575.2421245390. The cubic root of 6631872 is about 187.8792041278.

It can be divided in two parts, 6631 and 872, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 6631872 in words is "six million, six hundred thirty-one thousand, eight hundred seventy-two".