14006160 has 180 divisors, whose sum is σ = 54854748. Its totient is φ = 3193344.

The previous prime is 14006137. The next prime is 14006171. The reversal of 14006160 is 6160041.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 6780816 = 2688^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 35082 + ... + 35478.

Almost surely, 2^14006160 is an apocalyptic number.

14006160 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 14006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27427374).

14006160 is an abundant number, since it is smaller than the sum of its proper divisors (40848588).

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

14006160 is a wasteful number, since it uses less digits than its factorization.

14006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14006160 is about 3742.4804608708. The cubic root of 14006160 is about 241.0495699875.

The spelling of 14006160 in words is "fourteen million, six thousand, one hundred sixty".