13815280 has 80 divisors (see below), whose sum is σ = 34596000. Its totient is φ = 5114880.

The previous prime is 13815257. The next prime is 13815289. The reversal of 13815280 is 8251831.

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

It is a super-2 number, since 2×13815280² = 381723922956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92646 + ... + 92794.

It is an arithmetic number, because the mean of its divisors is an integer number (432450).

Almost surely, 2^13815280 is an apocalyptic number.

13815280 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 13815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298000).

13815280 is an abundant number, since it is smaller than the sum of its proper divisors (20780720).

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

13815280 is a wasteful number, since it uses less digits than its factorization.

13815280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13815280 is about 3716.8911740862. The cubic root of 13815280 is about 239.9495264229.

The spelling of 13815280 in words is "thirteen million, eight hundred fifteen thousand, two hundred eighty".