14784768 has 180 divisors, whose sum is σ = 47486208. Its totient is φ = 4561920.

The previous prime is 14784767. The next prime is 14784787. The reversal of 14784768 is 86748741.

It is not an unprimeable number, because it can be changed into a prime (14784761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476913 + ... + 476943.

Almost surely, 2^14784768 is an apocalyptic number.

14784768 is a gapful number since it is divisible by the number (18) 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 14784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743104).

14784768 is an abundant number, since it is smaller than the sum of its proper divisors (32701440).

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

14784768 is an equidigital number, since it uses as much as digits as its factorization.

14784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 14784768 is about 3845.0966177718. The cubic root of 14784768 is about 245.4359474124.

The spelling of 14784768 in words is "fourteen million, seven hundred eighty-four thousand, seven hundred sixty-eight".