13638700 has 36 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 5266240.

The previous prime is 13638679. The next prime is 13638707. The reversal of 13638700 is 783631.

It is not an unprimeable number, because it can be changed into a prime (13638707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549 + ... + 5251.

It is an arithmetic number, because the mean of its divisors is an integer number (850640).

Almost surely, 2^13638700 is an apocalyptic number.

13638700 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 13638700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

13638700 is an abundant number, since it is smaller than the sum of its proper divisors (16984340).

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

13638700 is a wasteful number, since it uses less digits than its factorization.

13638700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13638700 is about 3693.0610609628. The cubic root of 13638700 is about 238.9228347490.

The spelling of 13638700 in words is "thirteen million, six hundred thirty-eight thousand, seven hundred".