14116800 has 168 divisors, whose sum is σ = 49322736. Its totient is φ = 3522560.

The previous prime is 14116799. The next prime is 14116807. The reversal of 14116800 is 861141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14116807) by changing a digit.

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, 81514 + ... + 81686.

Almost surely, 2^14116800 is an apocalyptic number.

14116800 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 14116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661368).

14116800 is an abundant number, since it is smaller than the sum of its proper divisors (35205936).

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

14116800 is a wasteful number, since it uses less digits than its factorization.

14116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 14116800 is about 3757.2330244476. The cubic root of 14116800 is about 241.6826201649.

Adding to 14116800 its reverse (861141), we get a palindrome (14977941).

The spelling of 14116800 in words is "fourteen million, one hundred sixteen thousand, eight hundred".