13641520 has 40 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 5322240.

The previous prime is 13641517. The next prime is 13641521. The reversal of 13641520 is 2514631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13641491 and 13641500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1201 + ... + 5359.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^13641520 is an apocalyptic number.

13641520 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 13641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

13641520 is an abundant number, since it is smaller than the sum of its proper divisors (18856400).

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

13641520 is a wasteful number, since it uses less digits than its factorization.

13641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13641520 is about 3693.4428383285. The cubic root of 13641520 is about 238.9393005403.

It can be divided in two parts, 13641 and 520, that added together give a square (14161 = 119²).

The spelling of 13641520 in words is "thirteen million, six hundred forty-one thousand, five hundred twenty".