14008120 has 64 divisors (see below), whose sum is σ = 36792000. Its totient is φ = 4798080.

The previous prime is 14008117. The next prime is 14008121. The reversal of 14008120 is 2180041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14008094 and 14008103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14008121) 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, 13210 + ... + 14230.

It is an arithmetic number, because the mean of its divisors is an integer number (574875).

Almost surely, 2^14008120 is an apocalyptic number.

14008120 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 14008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396000).

14008120 is an abundant number, since it is smaller than the sum of its proper divisors (22783880).

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

14008120 is a wasteful number, since it uses less digits than its factorization.

14008120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14008120 is about 3742.7423101250. The cubic root of 14008120 is about 241.0608134956.

Adding to 14008120 its reverse (2180041), we get a palindrome (16188161).

The spelling of 14008120 in words is "fourteen million, eight thousand, one hundred twenty".