1638112 has 48 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 685440.

The previous prime is 1638107. The next prime is 1638121. The reversal of 1638112 is 2118361.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

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, 15853 + ... + 15955.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2^1638112 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 1638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976).

1638112 is an abundant number, since it is smaller than the sum of its proper divisors (2135840).

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

1638112 is a wasteful number, since it uses less digits than its factorization.

1638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 1638112 is about 1279.8874950557. The cubic root of 1638112 is about 117.8820999927.

Adding to 1638112 its product of digits (288), we get a square (1638400 = 1280²).

Subtracting 1638112 from its reverse (2118361), we obtain a square (480249 = 693²).

The spelling of 1638112 in words is "one million, six hundred thirty-eight thousand, one hundred twelve".