14116032 has 140 divisors (see below), whose sum is σ = 47945040. Its totient is φ = 4022784.

The previous prime is 14116019. The next prime is 14116033. The reversal of 14116032 is 23061141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14115996 and 14116014.

It is not an unprimeable number, because it can be changed into a prime (14116033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36094 + ... + 36482.

Almost surely, 2^14116032 is an apocalyptic number.

14116032 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 14116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23972520).

14116032 is an abundant number, since it is smaller than the sum of its proper divisors (33829008).

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

14116032 is an equidigital number, since it uses as much as digits as its factorization.

14116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14116032 is about 3757.1308201871. The cubic root of 14116032 is about 241.6782373110.

Adding to 14116032 its reverse (23061141), we get a palindrome (37177173).

The spelling of 14116032 in words is "fourteen million, one hundred sixteen thousand, thirty-two".