13548864 has 112 divisors (see below), whose sum is σ = 43452288. Its totient is φ = 3637248.

The previous prime is 13548853. The next prime is 13548869. The reversal of 13548864 is 46884531.

13548864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13548869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22552 + ... + 23144.

Almost surely, 2^13548864 is an apocalyptic number.

13548864 is a gapful number since it is divisible by the number (14) 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 13548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726144).

13548864 is an abundant number, since it is smaller than the sum of its proper divisors (29903424).

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

13548864 is a wasteful number, since it uses less digits than its factorization.

13548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 13548864 is about 3680.8781560926. The cubic root of 13548864 is about 238.3970961915.

The spelling of 13548864 in words is "thirteen million, five hundred forty-eight thousand, eight hundred sixty-four".