14398160 has 60 divisors (see below), whose sum is σ = 38951748. Its totient is φ = 4935168.

The previous prime is 14398151. The next prime is 14398177. The reversal of 14398160 is 6189341.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2729104 + 11669056 = 1652^2 + 3416^2 .

It is a super-2 number, since 2×14398160² = 414614022771200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2084 + ... + 5756.

Almost surely, 2^14398160 is an apocalyptic number.

14398160 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 14398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475874).

14398160 is an abundant number, since it is smaller than the sum of its proper divisors (24553588).

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

14398160 is a wasteful number, since it uses less digits than its factorization.

14398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 14398160 is about 3794.4907431696. The cubic root of 14398160 is about 243.2777171115.

The spelling of 14398160 in words is "fourteen million, three hundred ninety-eight thousand, one hundred sixty".