14378208 has 96 divisors (see below), whose sum is σ = 41785632. Its totient is φ = 4300800.

The previous prime is 14378207. The next prime is 14378227. The reversal of 14378208 is 80287341.

14378208 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 Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14378201) 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, 51028 + ... + 51308.

It is an arithmetic number, because the mean of its divisors is an integer number (435267).

Almost surely, 2^14378208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14378208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892816).

14378208 is an abundant number, since it is smaller than the sum of its proper divisors (27407424).

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

14378208 is a wasteful number, since it uses less digits than its factorization.

14378208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 14378208 is about 3791.8607569372. The cubic root of 14378208 is about 243.1652925425.

The spelling of 14378208 in words is "fourteen million, three hundred seventy-eight thousand, two hundred eight".