6631744 has 56 divisors (see below), whose sum is σ = 15288768. Its totient is φ = 2795520.

The previous prime is 6631739. The next prime is 6631763. The reversal of 6631744 is 4471366.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50559 + ... + 50689.

Almost surely, 2^6631744 is an apocalyptic number.

6631744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644384).

6631744 is an abundant number, since it is smaller than the sum of its proper divisors (8657024).

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

6631744 is a wasteful number, since it uses less digits than its factorization.

6631744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 6631744 is about 2575.2172723869. The cubic root of 6631744 is about 187.8779953845.

The spelling of 6631744 in words is "six million, six hundred thirty-one thousand, seven hundred forty-four".