13206160 has 80 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4677120.

The previous prime is 13206131. The next prime is 13206173. The reversal of 13206160 is 6160231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 37666 + ... + 38014.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^13206160 is an apocalyptic number.

13206160 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 13206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

13206160 is an abundant number, since it is smaller than the sum of its proper divisors (21166640).

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

13206160 is a wasteful number, since it uses less digits than its factorization.

13206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13206160 is about 3634.0280681360. The cubic root of 13206160 is about 236.3699073108.

Adding to 13206160 its reverse (6160231), we get a palindrome (19366391).

It can be divided in two parts, 13206 and 160, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 13206160 in words is "thirteen million, two hundred six thousand, one hundred sixty".