13643160 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3415040.

The previous prime is 13643141. The next prime is 13643177. The reversal of 13643160 is 6134631.

It is a super-2 number, since 2×13643160² = 372271629571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13643160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231211 + ... + 231269.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^13643160 is an apocalyptic number.

13643160 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 13643160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13643160 is an abundant number, since it is smaller than the sum of its proper divisors (29902440).

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

13643160 is a wasteful number, since it uses less digits than its factorization.

13643160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13643160 is about 3693.6648467342. The cubic root of 13643160 is about 238.9488753470.

Adding to 13643160 its reverse (6134631), we get a palindrome (19777791).

The spelling of 13643160 in words is "thirteen million, six hundred forty-three thousand, one hundred sixty".