12638900 has 36 divisors (see below), whose sum is σ = 27602400. Its totient is φ = 5023200.

The previous prime is 12638897. The next prime is 12638903. The reversal of 12638900 is 983621.

It is an interprime number because it is at equal distance from previous prime (12638897) and next prime (12638903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638903) 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 11 ways as a sum of consecutive naturals, for example, 20801 + ... + 21399.

Almost surely, 2^12638900 is an apocalyptic number.

12638900 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 12638900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801200).

12638900 is an abundant number, since it is smaller than the sum of its proper divisors (14963500).

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

12638900 is a wasteful number, since it uses less digits than its factorization.

12638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12638900 is about 3555.1230639740. The cubic root of 12638900 is about 232.9358994035.

The spelling of 12638900 in words is "twelve million, six hundred thirty-eight thousand, nine hundred".