14668500 has 192 divisors, whose sum is σ = 53673984. Its totient is φ = 3024000.

The previous prime is 14668471. The next prime is 14668553. The reversal of 14668500 is 586641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115437 + ... + 115563.

It is an arithmetic number, because the mean of its divisors is an integer number (279552).

Almost surely, 2^14668500 is an apocalyptic number.

14668500 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 14668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26836992).

14668500 is an abundant number, since it is smaller than the sum of its proper divisors (39005484).

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

14668500 is a wasteful number, since it uses less digits than its factorization.

14668500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 14668500 is about 3829.9477803229. The cubic root of 14668500 is about 244.7908808385.

The spelling of 14668500 in words is "fourteen million, six hundred sixty-eight thousand, five hundred".