13208160 has 96 divisors (see below), whose sum is σ = 47561472. Its totient is φ = 3018240.

The previous prime is 13208159. The next prime is 13208203. The reversal of 13208160 is 6180231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (495432).

Almost surely, 2^13208160 is an apocalyptic number.

13208160 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 13208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780736).

13208160 is an abundant number, since it is smaller than the sum of its proper divisors (34353312).

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

13208160 is a wasteful number, since it uses less digits than its factorization.

13208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13208160 is about 3634.3032344591. The cubic root of 13208160 is about 236.3818390142.

Adding to 13208160 its reverse (6180231), we get a palindrome (19388391).

The spelling of 13208160 in words is "thirteen million, two hundred eight thousand, one hundred sixty".