1638560 has 144 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 483840.

The previous prime is 1638551. The next prime is 1638563. The reversal of 1638560 is 658361.

It is not an unprimeable number, because it can be changed into a prime (1638563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86231 + ... + 86249.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2^1638560 is an apocalyptic number.

1638560 is a gapful number since it is divisible by the number (10) 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 1638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

1638560 is an abundant number, since it is smaller than the sum of its proper divisors (3532480).

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

1638560 is a wasteful number, since it uses less digits than its factorization.

1638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1638560 is about 1280.0624984742. The cubic root of 1638560 is about 117.8928453644.

The spelling of 1638560 in words is "one million, six hundred thirty-eight thousand, five hundred sixty".