14084000 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 4819200.

The previous prime is 14083991. The next prime is 14084009. The reversal of 14084000 is 48041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14083991) and next prime (14084009).

It is a self number, because there is not a number n which added to its sum of digits gives 14084000.

It is not an unprimeable number, because it can be changed into a prime (14084009) 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, 27749 + ... + 28251.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^14084000 is an apocalyptic number.

14084000 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 14084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

14084000 is an abundant number, since it is smaller than the sum of its proper divisors (25542496).

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

14084000 is an equidigital number, since it uses as much as digits as its factorization.

14084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 14084000 is about 3752.8655717998. The cubic root of 14084000 is about 241.4952940142.

The spelling of 14084000 in words is "fourteen million, eighty-four thousand".