14164096 has 32 divisors (see below), whose sum is σ = 28396800. Its totient is φ = 7037184.

The previous prime is 14164049. The next prime is 14164099. The reversal of 14164096 is 69046141.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (14164099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30361 + ... + 30823.

It is an arithmetic number, because the mean of its divisors is an integer number (887400).

Almost surely, 2^14164096 is an apocalyptic number.

14164096 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 14164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198400).

14164096 is an abundant number, since it is smaller than the sum of its proper divisors (14232704).

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

14164096 is an equidigital number, since it uses as much as digits as its factorization.

14164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 14164096 is about 3763.5217549524. The cubic root of 14164096 is about 241.9522251614.

The spelling of 14164096 in words is "fourteen million, one hundred sixty-four thousand, ninety-six".