14868000 has 288 divisors, whose sum is σ = 61326720. Its totient is φ = 3340800.

The previous prime is 14867999. The next prime is 14868019. The reversal of 14868000 is 86841.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 251971 + ... + 252029.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 2^14868000 is an apocalyptic number.

14868000 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 14868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

14868000 is an abundant number, since it is smaller than the sum of its proper divisors (46458720).

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

14868000 is a wasteful number, since it uses less digits than its factorization.

14868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14868000 is about 3855.9045631343. The cubic root of 14868000 is about 245.8956527504.

The spelling of 14868000 in words is "fourteen million, eight hundred sixty-eight thousand".