14804816 has 40 divisors (see below), whose sum is σ = 31221960. Its totient is φ = 6759936.

The previous prime is 14804809. The next prime is 14804833. The reversal of 14804816 is 61840841.

14804816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 14440000 = 604^2 + 3800^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22346 + ... + 22998.

It is an arithmetic number, because the mean of its divisors is an integer number (780549).

Almost surely, 2^14804816 is an apocalyptic number.

14804816 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 14804816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610980).

14804816 is an abundant number, since it is smaller than the sum of its proper divisors (16417144).

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

14804816 is a wasteful number, since it uses less digits than its factorization.

14804816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 14804816 is about 3847.7026912172. The cubic root of 14804816 is about 245.5468335509.

The spelling of 14804816 in words is "fourteen million, eight hundred four thousand, eight hundred sixteen".