14769216 has 280 divisors, whose sum is σ = 56058816. Its totient is φ = 3732480.

The previous prime is 14769199. The next prime is 14769221. The reversal of 14769216 is 61296741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399150 + ... + 399186.

Almost surely, 2^14769216 is an apocalyptic number.

14769216 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 14769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029408).

14769216 is an abundant number, since it is smaller than the sum of its proper divisors (41289600).

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

14769216 is a wasteful number, since it uses less digits than its factorization.

14769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 14769216 is about 3843.0737697838. The cubic root of 14769216 is about 245.3498597353.

The spelling of 14769216 in words is "fourteen million, seven hundred sixty-nine thousand, two hundred sixteen".