14130816 has 96 divisors (see below), whose sum is σ = 43721280. Its totient is φ = 4032000.

The previous prime is 14130793. The next prime is 14130817. The reversal of 14130816 is 61803141.

14130816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14130817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18441 + ... + 19191.

It is an arithmetic number, because the mean of its divisors is an integer number (455430).

Almost surely, 2^14130816 is an apocalyptic number.

14130816 is a gapful number since it is divisible by the number (16) 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 14130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21860640).

14130816 is an abundant number, since it is smaller than the sum of its proper divisors (29590464).

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

14130816 is an equidigital number, since it uses as much as digits as its factorization.

14130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 14130816 is about 3759.0977640918. The cubic root of 14130816 is about 241.7625793423.

Adding to 14130816 its reverse (61803141), we get a palindrome (75933957).

The spelling of 14130816 in words is "fourteen million, one hundred thirty thousand, eight hundred sixteen".