14682816 has 112 divisors (see below), whose sum is σ = 44805600. Its totient is φ = 4709376.

The previous prime is 14682803. The next prime is 14682859. The reversal of 14682816 is 61828641.

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.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49966 + ... + 50258.

It is an arithmetic number, because the mean of its divisors is an integer number (400050).

Almost surely, 2^14682816 is an apocalyptic number.

14682816 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 14682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402800).

14682816 is an abundant number, since it is smaller than the sum of its proper divisors (30122784).

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

14682816 is a wasteful number, since it uses less digits than its factorization.

14682816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 14682816 is about 3831.8162795207. The cubic root of 14682816 is about 244.8704910417.

The spelling of 14682816 in words is "fourteen million, six hundred eighty-two thousand, eight hundred sixteen".