13821360 has 160 divisors (see below), whose sum is σ = 51663360. Its totient is φ = 2985984.

The previous prime is 13821343. The next prime is 13821373. The reversal of 13821360 is 6312831.

13821360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 13821360.

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, 31704 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 2^13821360 is an apocalyptic number.

13821360 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 13821360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831680).

13821360 is an abundant number, since it is smaller than the sum of its proper divisors (37842000).

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

13821360 is a wasteful number, since it uses less digits than its factorization.

13821360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13821360 is about 3717.7089719342. The cubic root of 13821360 is about 239.9847212496.

The spelling of 13821360 in words is "thirteen million, eight hundred twenty-one thousand, three hundred sixty".