14088000 has 112 divisors (see below), whose sum is σ = 46597824. Its totient is φ = 3750400.

The previous prime is 14087999. The next prime is 14088001. The reversal of 14088000 is 88041.

It is an interprime number because it is at equal distance from previous prime (14087999) and next prime (14088001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14088001) 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 15 ways as a sum of consecutive naturals, for example, 23707 + ... + 24293.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^14088000 is an apocalyptic number.

14088000 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 14088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

14088000 is an abundant number, since it is smaller than the sum of its proper divisors (32509824).

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

14088000 is an equidigital number, since it uses as much as digits as its factorization.

14088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 14088000 is about 3753.3984600626. The cubic root of 14088000 is about 241.5181542277.

The spelling of 14088000 in words is "fourteen million, eighty-eight thousand".