14664000 has 224 divisors, whose sum is σ = 53254656. Its totient is φ = 3532800.

The previous prime is 14663993. The next prime is 14664011. The reversal of 14664000 is 46641.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 311977 + ... + 312023.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^14664000 is an apocalyptic number.

14664000 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 14664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

14664000 is an abundant number, since it is smaller than the sum of its proper divisors (38590656).

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

14664000 is a wasteful number, since it uses less digits than its factorization.

14664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 14664000 is about 3829.3602598868. The cubic root of 14664000 is about 244.7658459763.

It can be divided in two parts, 146 and 64000, that added together give a palindrome (64146).

The spelling of 14664000 in words is "fourteen million, six hundred sixty-four thousand".