14024864 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 5419008.

The previous prime is 14024863. The next prime is 14024867. The reversal of 14024864 is 46842041.

14024864 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110369 + ... + 110495.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^14024864 is an apocalyptic number.

14024864 is a gapful number since it is divisible by the number (14) 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 14024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

14024864 is an abundant number, since it is smaller than the sum of its proper divisors (20811616).

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

14024864 is a wasteful number, since it uses less digits than its factorization.

14024864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 14024864 is about 3744.9785046112. The cubic root of 14024864 is about 241.1568224560.

The spelling of 14024864 in words is "fourteen million, twenty-four thousand, eight hundred sixty-four".