1638160 has 20 divisors (see below), whose sum is σ = 3808908. Its totient is φ = 655232.

The previous prime is 1638149. The next prime is 1638167. The reversal of 1638160 is 618361.

It can be written as a sum of positive squares in 2 ways, for example, as 952576 + 685584 = 976^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1638167) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10159 + ... + 10318.

2^1638160 is an apocalyptic number.

1638160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1638160 is an abundant number, since it is smaller than the sum of its proper divisors (2170748).

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

1638160 is a wasteful number, since it uses less digits than its factorization.

1638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20490 (or 20484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1638160 is about 1279.9062465665. The cubic root of 1638160 is about 117.8832513762.

The spelling of 1638160 in words is "one million, six hundred thirty-eight thousand, one hundred sixty".