13198320 has 120 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 3362304.

The previous prime is 13198313. The next prime is 13198321. The reversal of 13198320 is 2389131.

13198320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16162 + ... + 16958.

Almost surely, 2^13198320 is an apocalyptic number.

13198320 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 13198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13198320 is an abundant number, since it is smaller than the sum of its proper divisors (33111216).

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

13198320 is a wasteful number, since it uses less digits than its factorization.

13198320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13198320 is about 3632.9492151694. The cubic root of 13198320 is about 236.3231234133.

The spelling of 13198320 in words is "thirteen million, one hundred ninety-eight thousand, three hundred twenty".