13506432 has 64 divisors (see below), whose sum is σ = 38005200. Its totient is φ = 4235264.

The previous prime is 13506413. The next prime is 13506439. The reversal of 13506432 is 23460531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5494 + ... + 7562.

Almost surely, 2^13506432 is an apocalyptic number.

13506432 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 13506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002600).

13506432 is an abundant number, since it is smaller than the sum of its proper divisors (24498768).

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

13506432 is a wasteful number, since it uses less digits than its factorization.

13506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13506432 is about 3675.1097942783. The cubic root of 13506432 is about 238.1479672118.

Adding to 13506432 its reverse (23460531), we get a palindrome (36966963).

The spelling of 13506432 in words is "thirteen million, five hundred six thousand, four hundred thirty-two".