14352080 has 80 divisors (see below), whose sum is σ = 36118224. Its totient is φ = 5283840.

The previous prime is 14352077. The next prime is 14352083. The reversal of 14352080 is 8025341.

It is an interprime number because it is at equal distance from previous prime (14352077) and next prime (14352083).

It can be written as a sum of positive squares in 8 ways, for example, as 3136 + 14348944 = 56^2 + 3788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14352083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82874 + ... + 83046.

Almost surely, 2^14352080 is an apocalyptic number.

14352080 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 14352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059112).

14352080 is an abundant number, since it is smaller than the sum of its proper divisors (21766144).

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

14352080 is a wasteful number, since it uses less digits than its factorization.

14352080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 14352080 is about 3788.4139161396. The cubic root of 14352080 is about 243.0179103578.

The spelling of 14352080 in words is "fourteen million, three hundred fifty-two thousand, eighty".