14368000 has 72 divisors (see below), whose sum is σ = 35872200. Its totient is φ = 5734400.

The previous prime is 14367979. The next prime is 14368007. The reversal of 14368000 is 86341.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 14017536 = 592^2 + 3744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14368007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31776 + ... + 32224.

It is an arithmetic number, because the mean of its divisors is an integer number (498225).

Almost surely, 2^14368000 is an apocalyptic number.

14368000 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 14368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936100).

14368000 is an abundant number, since it is smaller than the sum of its proper divisors (21504200).

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

14368000 is an frugal number, since it uses more digits than its factorization.

14368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 14368000 is about 3790.5144769543. The cubic root of 14368000 is about 243.1077327740.

The spelling of 14368000 in words is "fourteen million, three hundred sixty-eight thousand".