13284384 has 48 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4363520.

The previous prime is 13284379. The next prime is 13284389. The reversal of 13284384 is 48348231.

It is an interprime number because it is at equal distance from previous prime (13284379) and next prime (13284389).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (13284389) 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, 5842 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^13284384 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 13284384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13284384 is an abundant number, since it is smaller than the sum of its proper divisors (22096416).

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

13284384 is a wasteful number, since it uses less digits than its factorization.

13284384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2025 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 13284384 is about 3644.7748901681. The cubic root of 13284384 is about 236.8356852113.

The spelling of 13284384 in words is "thirteen million, two hundred eighty-four thousand, three hundred eighty-four".