1638048 has 48 divisors (see below), whose sum is σ = 4366656. Its totient is φ = 537600.

The previous prime is 1638031. The next prime is 1638053. The reversal of 1638048 is 8408361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10773 + ... + 10923.

It is an arithmetic number, because the mean of its divisors is an integer number (90972).

2^1638048 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 1638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183328).

1638048 is an abundant number, since it is smaller than the sum of its proper divisors (2728608).

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

1638048 is a wasteful number, since it uses less digits than its factorization.

1638048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1638048 is about 1279.8624926140. The cubic root of 1638048 is about 117.8805647796.

The spelling of 1638048 in words is "one million, six hundred thirty-eight thousand, forty-eight".