6638112 has 120 divisors (see below), whose sum is σ = 21130956. Its totient is φ = 2032128.

The previous prime is 6638101. The next prime is 6638131. The reversal of 6638112 is 2118366.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 104976 = 2556^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33598 + ... + 33794.

Almost surely, 2^6638112 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 6638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565478).

6638112 is an abundant number, since it is smaller than the sum of its proper divisors (14492844).

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

6638112 is a wasteful number, since it uses less digits than its factorization.

6638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6638112 is about 2576.4533762519. The cubic root of 6638112 is about 187.9381115136.

The spelling of 6638112 in words is "six million, six hundred thirty-eight thousand, one hundred twelve".