13184920 has 96 divisors (see below), whose sum is σ = 35748000. Its totient is φ = 4374720.

The previous prime is 13184909. The next prime is 13184939. The reversal of 13184920 is 2948131.

It is a happy number.

13184920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 15.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425305 + ... + 425335.

It is an arithmetic number, because the mean of its divisors is an integer number (372375).

Almost surely, 2^13184920 is an apocalyptic number.

13184920 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 13184920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874000).

13184920 is an abundant number, since it is smaller than the sum of its proper divisors (22563080).

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

13184920 is an equidigital number, since it uses as much as digits as its factorization.

13184920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 13184920 is about 3631.1045151579. The cubic root of 13184920 is about 236.2431182266.

The spelling of 13184920 in words is "thirteen million, one hundred eighty-four thousand, nine hundred twenty".