14880768 has 104 divisors (see below), whose sum is σ = 45607488. Its totient is φ = 4227072.

The previous prime is 14880739. The next prime is 14880769. The reversal of 14880768 is 86708841.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14880769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85930 + ... + 86102.

Almost surely, 2^14880768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803744).

14880768 is an abundant number, since it is smaller than the sum of its proper divisors (30726720).

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

14880768 is an equidigital number, since it uses as much as digits as its factorization.

14880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 14880768 is about 3857.5598504754. The cubic root of 14880768 is about 245.9660208207.

The spelling of 14880768 in words is "fourteen million, eight hundred eighty thousand, seven hundred sixty-eight".