14406816 has 96 divisors (see below), whose sum is σ = 40255488. Its totient is φ = 4504320.

The previous prime is 14406811. The next prime is 14406827. The reversal of 14406816 is 61860441.

14406816 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 not an unprimeable number, because it can be changed into a prime (14406811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139821 + ... + 139923.

It is an arithmetic number, because the mean of its divisors is an integer number (419328).

Almost surely, 2^14406816 is an apocalyptic number.

14406816 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 14406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744).

14406816 is an abundant number, since it is smaller than the sum of its proper divisors (25848672).

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

14406816 is a wasteful number, since it uses less digits than its factorization.

14406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14406816 is about 3795.6311728091. The cubic root of 14406816 is about 243.3264592208.

It can be divided in two parts, 1440 and 6816, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 14406816 in words is "fourteen million, four hundred six thousand, eight hundred sixteen".