13440384 has 64 divisors (see below), whose sum is σ = 39678000. Its totient is φ = 4478976.

The previous prime is 13440379. The next prime is 13440389. The reversal of 13440384 is 48304431.

It is an interprime number because it is at equal distance from previous prime (13440379) and next prime (13440389).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512 + ... + 5400.

Almost surely, 2^13440384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839000).

13440384 is an abundant number, since it is smaller than the sum of its proper divisors (26237616).

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

13440384 is an equidigital number, since it uses as much as digits as its factorization.

13440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13440384 is about 3666.1129278842. The cubic root of 13440384 is about 237.7591424402.

It can be divided in two parts, 13440 and 384, that added together give a cube (13824 = 24³).

The spelling of 13440384 in words is "thirteen million, four hundred forty thousand, three hundred eighty-four".