14894208 has 96 divisors (see below), whose sum is σ = 49008960. Its totient is φ = 4253184.

The previous prime is 14894207. The next prime is 14894213. The reversal of 14894208 is 80249841.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (14894203) 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, 7141 + ... + 8987.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 2^14894208 is an apocalyptic number.

14894208 is a gapful number since it is divisible by the number (18) 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 14894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480).

14894208 is an abundant number, since it is smaller than the sum of its proper divisors (34114752).

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

14894208 is a wasteful number, since it uses less digits than its factorization.

14894208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14894208 is about 3859.3014912028. The cubic root of 14894208 is about 246.0400490021.

The spelling of 14894208 in words is "fourteen million, eight hundred ninety-four thousand, two hundred eight".