14916000 has 192 divisors, whose sum is σ = 53778816. Its totient is φ = 3584000.

The previous prime is 14915993. The next prime is 14916001. The reversal of 14916000 is 61941.

It is not an unprimeable number, because it can be changed into a prime (14916001) by changing a digit.

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, 131944 + ... + 132056.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 2^14916000 is an apocalyptic number.

14916000 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 14916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

14916000 is an abundant number, since it is smaller than the sum of its proper divisors (38862816).

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

14916000 is a wasteful number, since it uses less digits than its factorization.

14916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 14916000 is about 3862.1237680841. The cubic root of 14916000 is about 246.1599858244.

Adding to 14916000 its reverse (61941), we get a palindrome (14977941).

The spelling of 14916000 in words is "fourteen million, nine hundred sixteen thousand".