14631216 has 80 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 4527360.

The previous prime is 14631191. The next prime is 14631217. The reversal of 14631216 is 61213641.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14631217) 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 15 ways as a sum of consecutive naturals, for example, 55501 + ... + 55763.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 2^14631216 is an apocalyptic number.

14631216 is a gapful number since it is divisible by the number (16) 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 14631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

14631216 is an abundant number, since it is smaller than the sum of its proper divisors (25961424).

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

14631216 is a wasteful number, since it uses less digits than its factorization.

14631216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 14631216 is about 3825.0772541218. The cubic root of 14631216 is about 244.5833039020.

Adding to 14631216 its reverse (61213641), we get a palindrome (75844857).

The spelling of 14631216 in words is "fourteen million, six hundred thirty-one thousand, two hundred sixteen".