14716080 has 120 divisors (see below), whose sum is σ = 51319632. Its totient is φ = 3919104.

The previous prime is 14716073. The next prime is 14716087. The reversal of 14716080 is 8061741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14716073) and next prime (14716087).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14716087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19062 + ... + 19818.

Almost surely, 2^14716080 is an apocalyptic number.

14716080 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 14716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25659816).

14716080 is an abundant number, since it is smaller than the sum of its proper divisors (36603552).

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

14716080 is an equidigital number, since it uses as much as digits as its factorization.

14716080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14716080 is about 3836.1543243201. The cubic root of 14716080 is about 245.0552700517.

The spelling of 14716080 in words is "fourteen million, seven hundred sixteen thousand, eighty".