13638248 has 32 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 6202560.

The previous prime is 13638239. The next prime is 13638253. The reversal of 13638248 is 84283631.

It is a happy number.

It is a Cunningham number, because it is equal to 3693²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6461 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^13638248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13638248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

13638248 is an abundant number, since it is smaller than the sum of its proper divisors (14303512).

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

13638248 is a wasteful number, since it uses less digits than its factorization.

13638248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 13638248 is about 3692.9998646087. Note that the first 3 decimals coincide. The cubic root of 13638248 is about 238.9201953402.

The spelling of 13638248 in words is "thirteen million, six hundred thirty-eight thousand, two hundred forty-eight".