13914384 has 120 divisors (see below), whose sum is σ = 41952672. Its totient is φ = 3939840.

The previous prime is 13914377. The next prime is 13914389. The reversal of 13914384 is 48341931.

It is a super-2 number, since 2×13914384² = 387220164198912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (10368) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (13914389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190572 + ... + 190644.

Almost surely, 2^13914384 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 13914384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976336).

13914384 is an abundant number, since it is smaller than the sum of its proper divisors (28038288).

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

13914384 is a wasteful number, since it uses less digits than its factorization.

13914384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 13914384 is about 3730.1989223096. The cubic root of 13914384 is about 240.5219197319.

It can be divided in two parts, 1391 and 4384, that added together give a palindrome (5775).

The spelling of 13914384 in words is "thirteen million, nine hundred fourteen thousand, three hundred eighty-four".