14424192 has 96 divisors (see below), whose sum is σ = 43758000. Its totient is φ = 4548096.

The previous prime is 14424181. The next prime is 14424199. The reversal of 14424192 is 29142441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14424199) 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, 21559 + ... + 22217.

Almost surely, 2^14424192 is an apocalyptic number.

14424192 is a gapful number since it is divisible by the number (12) 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 14424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879000).

14424192 is an abundant number, since it is smaller than the sum of its proper divisors (29333808).

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

14424192 is a wasteful number, since it uses less digits than its factorization.

14424192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14424192 is about 3797.9194304250. The cubic root of 14424192 is about 243.4242449236.

It can be divided in two parts, 144 and 24192, that added together give a square (24336 = 156²).

The spelling of 14424192 in words is "fourteen million, four hundred twenty-four thousand, one hundred ninety-two".