14486976 has 84 divisors (see below), whose sum is σ = 47469552. Its totient is φ = 4137984.

The previous prime is 14486971. The next prime is 14486993. The reversal of 14486976 is 67968441.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (14486971) 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 11 ways as a sum of consecutive naturals, for example, 2236 + ... + 5828.

Almost surely, 2^14486976 is an apocalyptic number.

14486976 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 14486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734776).

14486976 is an abundant number, since it is smaller than the sum of its proper divisors (32982576).

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

14486976 is a wasteful number, since it uses less digits than its factorization.

14486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3605 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 14486976 is about 3806.1760337641. The cubic root of 14486976 is about 243.7769169486.

The spelling of 14486976 in words is "fourteen million, four hundred eighty-six thousand, nine hundred seventy-six".