13548816 has 80 divisors (see below), whose sum is σ = 39481600. Its totient is φ = 4447872.

The previous prime is 13548803. The next prime is 13548833. The reversal of 13548816 is 61884531.

13548816 is digitally balanced in base 2, because in such base 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 (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33930 + ... + 34326.

It is an arithmetic number, because the mean of its divisors is an integer number (493520).

Almost surely, 2^13548816 is an apocalyptic number.

13548816 is a gapful number since it is divisible by the number (16) 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 13548816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740800).

13548816 is an abundant number, since it is smaller than the sum of its proper divisors (25932784).

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

13548816 is a wasteful number, since it uses less digits than its factorization.

13548816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13548816 is about 3680.8716359036. The cubic root of 13548816 is about 238.3968146655.

Adding to 13548816 its product of digits (23040), we get a square (13571856 = 3684²).

The spelling of 13548816 in words is "thirteen million, five hundred forty-eight thousand, eight hundred sixteen".