13605312 has 112 divisors (see below), whose sum is σ = 42135552. Its totient is φ = 3793920.

The previous prime is 13605299. The next prime is 13605331. The reversal of 13605312 is 21350631.

13605312 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 Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

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, 71137 + ... + 71327.

Almost surely, 2^13605312 is an apocalyptic number.

13605312 is a gapful number since it is divisible by the number (12) 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 13605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776).

13605312 is an abundant number, since it is smaller than the sum of its proper divisors (28530240).

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

13605312 is a wasteful number, since it uses less digits than its factorization.

13605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13605312 is about 3688.5379217245. The cubic root of 13605312 is about 238.7277117064.

Adding to 13605312 its reverse (21350631), we get a palindrome (34955943).

The spelling of 13605312 in words is "thirteen million, six hundred five thousand, three hundred twelve".