14024000 has 56 divisors (see below), whose sum is σ = 34750248. Its totient is φ = 5606400.

The previous prime is 14023993. The next prime is 14024011. The reversal of 14024000 is 42041.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 10549504 = 1864^2 + 3248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7124 + ... + 8876.

Almost surely, 2^14024000 is an apocalyptic number.

14024000 is a gapful number since it is divisible by the number (10) 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 14024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375124).

14024000 is an abundant number, since it is smaller than the sum of its proper divisors (20726248).

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

14024000 is an equidigital number, since it uses as much as digits as its factorization.

14024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 14024000 is about 3744.8631483674. The cubic root of 14024000 is about 241.1518702090.

Adding to 14024000 its reverse (42041), we get a palindrome (14066041).

The spelling of 14024000 in words is "fourteen million, twenty-four thousand".