14816000 has 72 divisors (see below), whose sum is σ = 36988224. Its totient is φ = 5913600.

The previous prime is 14815987. The next prime is 14816003. The reversal of 14816000 is 61841.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14816003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31769 + ... + 32231.

Almost surely, 2^14816000 is an apocalyptic number.

14816000 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 14816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494112).

14816000 is an abundant number, since it is smaller than the sum of its proper divisors (22172224).

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

14816000 is an frugal number, since it uses more digits than its factorization.

14816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 14816000 is about 3849.1557515902. The cubic root of 14816000 is about 245.6086491240.

Adding to 14816000 its reverse (61841), we get a palindrome (14877841).

The spelling of 14816000 in words is "fourteen million, eight hundred sixteen thousand".