14068896 has 48 divisors (see below), whose sum is σ = 37322208. Its totient is φ = 4640000.

The previous prime is 14068871. The next prime is 14068907. The reversal of 14068896 is 69886041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×14068896³ (a number of 22 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 8971 + ... + 10421.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 2^14068896 is an apocalyptic number.

14068896 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 14068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661104).

14068896 is an abundant number, since it is smaller than the sum of its proper divisors (23253312).

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

14068896 is a wasteful number, since it uses less digits than its factorization.

14068896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 14068896 is about 3750.8527030530. The cubic root of 14068896 is about 241.4089347980.

The spelling of 14068896 in words is "fourteen million, sixty-eight thousand, eight hundred ninety-six".