13198920 has 128 divisors (see below), whose sum is σ = 47692800. Its totient is φ = 2854656.

The previous prime is 13198907. The next prime is 13198921. The reversal of 13198920 is 2989131.

It is a super-2 number, since 2×13198920² = 348422978332800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15547 + ... + 16373.

It is an arithmetic number, because the mean of its divisors is an integer number (372600).

Almost surely, 2^13198920 is an apocalyptic number.

13198920 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 13198920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846400).

13198920 is an abundant number, since it is smaller than the sum of its proper divisors (34493880).

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

13198920 is a wasteful number, since it uses less digits than its factorization.

13198920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 13198920 is about 3633.0317917684. The cubic root of 13198920 is about 236.3267044682.

The spelling of 13198920 in words is "thirteen million, one hundred ninety-eight thousand, nine hundred twenty".