14144600 has 48 divisors (see below), whose sum is σ = 33145200. Its totient is φ = 5613440.

The previous prime is 14144593. The next prime is 14144671. The reversal of 14144600 is 644141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 39221 + ... + 39579.

It is an arithmetic number, because the mean of its divisors is an integer number (690525).

Almost surely, 2^14144600 is an apocalyptic number.

14144600 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 14144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572600).

14144600 is an abundant number, since it is smaller than the sum of its proper divisors (19000600).

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

14144600 is a wasteful number, since it uses less digits than its factorization.

14144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14144600 is about 3760.9307358684. The cubic root of 14144600 is about 241.8411634435.

Adding to 14144600 its reverse (644141), we get a palindrome (14788741).

The spelling of 14144600 in words is "fourteen million, one hundred forty-four thousand, six hundred".