14714880 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3915776.

The previous prime is 14714857. The next prime is 14714881. The reversal of 14714880 is 8841741.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14714881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30481 + ... + 30959.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^14714880 is an apocalyptic number.

14714880 is a gapful number since it is divisible by the number (10) 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 14714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14714880 is an abundant number, since it is smaller than the sum of its proper divisors (32459520).

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

14714880 is an equidigital number, since it uses as much as digits as its factorization.

14714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 14714880 is about 3835.9979144937. The cubic root of 14714880 is about 245.0486089863.

The spelling of 14714880 in words is "fourteen million, seven hundred fourteen thousand, eight hundred eighty".