14982336 has 126 divisors (see below), whose sum is σ = 46459140. Its totient is φ = 4603392.

The previous prime is 14982323. The next prime is 14982347. The reversal of 14982336 is 63328941.

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 a self number, because there is not a number n which added to its sum of digits gives 14982336.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 404910 + ... + 404946.

Almost surely, 2^14982336 is an apocalyptic number.

14982336 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 14982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23229570).

14982336 is an abundant number, since it is smaller than the sum of its proper divisors (31476804).

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

14982336 is a wasteful number, since it uses less digits than its factorization.

14982336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14982336 is about 3870.7022618641. The cubic root of 14982336 is about 246.5243623636.

The spelling of 14982336 in words is "fourteen million, nine hundred eighty-two thousand, three hundred thirty-six".