6638784 has 56 divisors (see below), whose sum is σ = 17849088. Its totient is φ = 2177280.

The previous prime is 6638773. The next prime is 6638791. The reversal of 6638784 is 4878366.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 13389 + ... + 13875.

Almost surely, 2^6638784 is an apocalyptic number.

6638784 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 6638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924544).

6638784 is an abundant number, since it is smaller than the sum of its proper divisors (11210304).

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

6638784 is a wasteful number, since it uses less digits than its factorization.

6638784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 6638784 is about 2576.5837847817. The cubic root of 6638784 is about 187.9444531837.

The spelling of 6638784 in words is "six million, six hundred thirty-eight thousand, seven hundred eighty-four".