13641320 has 128 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 4112640.

The previous prime is 13641319. The next prime is 13641337. The reversal of 13641320 is 2314631.

It is a super-2 number, since 2×13641320² = 372171222684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13641292 and 13641301.

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, 132389 + ... + 132491.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 2^13641320 is an apocalyptic number.

13641320 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 13641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

13641320 is an abundant number, since it is smaller than the sum of its proper divisors (25895320).

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

13641320 is a wasteful number, since it uses less digits than its factorization.

13641320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13641320 is about 3693.4157632197. The cubic root of 13641320 is about 238.9381328285.

Adding to 13641320 its reverse (2314631), we get a palindrome (15955951).

The spelling of 13641320 in words is "thirteen million, six hundred forty-one thousand, three hundred twenty".