6638016 has 112 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 1720320.

The previous prime is 6637997. The next prime is 6638017. The reversal of 6638016 is 6108366.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6638017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14560 + ... + 15008.

Almost surely, 2^6638016 is an apocalyptic number.

6638016 is a gapful number since it is divisible by the number (66) 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 6638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

6638016 is an abundant number, since it is smaller than the sum of its proper divisors (15307584).

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

6638016 is a wasteful number, since it uses less digits than its factorization.

6638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6638016 is about 2576.4347459231. The cubic root of 6638016 is about 187.9372055258.

It can be divided in two parts, 66 and 38016, that multiplied together give a square (2509056 = 1584²).

The spelling of 6638016 in words is "six million, six hundred thirty-eight thousand, sixteen".