13227984 has 120 divisors (see below), whose sum is σ = 46193472. Its totient is φ = 3432960.

The previous prime is 13227983. The next prime is 13228001. The reversal of 13227984 is 48972231.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10492 + ... + 11684.

Almost surely, 2^13227984 is an apocalyptic number.

13227984 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 13227984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096736).

13227984 is an abundant number, since it is smaller than the sum of its proper divisors (32965488).

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

13227984 is a wasteful number, since it uses less digits than its factorization.

13227984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13227984 is about 3637.0295572074. The cubic root of 13227984 is about 236.5000409722.

The spelling of 13227984 in words is "thirteen million, two hundred twenty-seven thousand, nine hundred eighty-four".