14388864 has 128 divisors (see below), whose sum is σ = 44945280. Its totient is φ = 3993600.

The previous prime is 14388859. The next prime is 14388877. The reversal of 14388864 is 46888341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142414 + ... + 142514.

It is an arithmetic number, because the mean of its divisors is an integer number (351135).

Almost surely, 2^14388864 is an apocalyptic number.

14388864 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 14388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472640).

14388864 is an abundant number, since it is smaller than the sum of its proper divisors (30556416).

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

14388864 is a wasteful number, since it uses less digits than its factorization.

14388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 14388864 is about 3793.2656115806. The cubic root of 14388864 is about 243.2253493891.

The spelling of 14388864 in words is "fourteen million, three hundred eighty-eight thousand, eight hundred sixty-four".