14348160 has 192 divisors, whose sum is σ = 51554880. Its totient is φ = 3674112.

The previous prime is 14348149. The next prime is 14348179. The reversal of 14348160 is 6184341.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270694 + ... + 270746.

It is an arithmetic number, because the mean of its divisors is an integer number (268515).

Almost surely, 2^14348160 is an apocalyptic number.

14348160 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 14348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25777440).

14348160 is an abundant number, since it is smaller than the sum of its proper divisors (37206720).

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

14348160 is a wasteful number, since it uses less digits than its factorization.

14348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14348160 is about 3787.8965138979. The cubic root of 14348160 is about 242.9957830900.

The spelling of 14348160 in words is "fourteen million, three hundred forty-eight thousand, one hundred sixty".