14689200 has 60 divisors (see below), whose sum is σ = 47058248. Its totient is φ = 3916800.

The previous prime is 14689189. The next prime is 14689211. The reversal of 14689200 is 298641.

It is an interprime number because it is at equal distance from previous prime (14689189) and next prime (14689211).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4921 + ... + 7320.

Almost surely, 2^14689200 is an apocalyptic number.

14689200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14689200 is an abundant number, since it is smaller than the sum of its proper divisors (32369048).

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

14689200 is a wasteful number, since it uses less digits than its factorization.

14689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14689200 is about 3832.6492143164. The cubic root of 14689200 is about 244.9059753045.

The spelling of 14689200 in words is "fourteen million, six hundred eighty-nine thousand, two hundred".