13641984 has 108 divisors (see below), whose sum is σ = 40814592. Its totient is φ = 4377600.

The previous prime is 13641961. The next prime is 13641989. The reversal of 13641984 is 48914631.

13641984 is a `hidden beast` number, since 1 + 3 + 641 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×13641984² = 372207454912512, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (13641989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71329 + ... + 71519.

Almost surely, 2^13641984 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 13641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407296).

13641984 is an abundant number, since it is smaller than the sum of its proper divisors (27172608).

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

13641984 is a wasteful number, since it uses less digits than its factorization.

13641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13641984 is about 3693.5056518164. The cubic root of 13641984 is about 238.9420095879.

It can be divided in two parts, 136419 and 84, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 13641984 in words is "thirteen million, six hundred forty-one thousand, nine hundred eighty-four".