13604832 has 72 divisors (see below), whose sum is σ = 39167856. Its totient is φ = 4478976.

The previous prime is 13604831. The next prime is 13604839. The reversal of 13604832 is 23840631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 13604796 and 13604805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13604831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27693 + ... + 28179.

It is an arithmetic number, because the mean of its divisors is an integer number (543998).

Almost surely, 2^13604832 is an apocalyptic number.

13604832 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 13604832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583928).

13604832 is an abundant number, since it is smaller than the sum of its proper divisors (25563024).

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

13604832 is a wasteful number, since it uses less digits than its factorization.

13604832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13604832 is about 3688.4728547191. The cubic root of 13604832 is about 238.7249042087.

The spelling of 13604832 in words is "thirteen million, six hundred four thousand, eight hundred thirty-two".