1638360 has 128 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 414720.

The previous prime is 1638353. The next prime is 1638431. The reversal of 1638360 is 638361.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39940 + ... + 39980.

2^1638360 is an apocalyptic number.

1638360 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 1638360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

1638360 is an abundant number, since it is smaller than the sum of its proper divisors (4107240).

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

1638360 is a wasteful number, since it uses less digits than its factorization.

1638360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1638360 is about 1279.9843749046. The cubic root of 1638360 is about 117.8880485655. Note that the first 3 decimals are identical.

Subtracting from 1638360 its reverse (638361), we obtain a palindrome (999999).

The spelling of 1638360 in words is "one million, six hundred thirty-eight thousand, three hundred sixty".