13198688 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 6205056.

The previous prime is 13198667. The next prime is 13198697. The reversal of 13198688 is 88689131.

It is a happy number.

It is a Cunningham number, because it is equal to 3633²-1.

It is a congruent number.

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, 58031 + ... + 58257.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^13198688 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 13198688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

13198688 is an abundant number, since it is smaller than the sum of its proper divisors (14380192).

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

13198688 is a wasteful number, since it uses less digits than its factorization.

13198688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 13198688 is about 3632.9998623727. Note that the first 3 decimals coincide. The cubic root of 13198688 is about 236.3253198065.

The spelling of 13198688 in words is "thirteen million, one hundred ninety-eight thousand, six hundred eighty-eight".