13746432 has 72 divisors (see below), whose sum is σ = 41828416. Its totient is φ = 3926016.

The previous prime is 13746431. The next prime is 13746437. The reversal of 13746432 is 23464731.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13746432.

It is not an unprimeable number, because it can be changed into a prime (13746431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4098 + ... + 6654.

Almost surely, 2^13746432 is an apocalyptic number.

13746432 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 13746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914208).

13746432 is an abundant number, since it is smaller than the sum of its proper divisors (28081984).

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

13746432 is an equidigital number, since it uses as much as digits as its factorization.

13746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 13746432 is about 3707.6181033111. The cubic root of 13746432 is about 239.5502688956.

The spelling of 13746432 in words is "thirteen million, seven hundred forty-six thousand, four hundred thirty-two".