13677984 has 72 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 4556736.

The previous prime is 13677973. The next prime is 13677991. The reversal of 13677984 is 48977631.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (254016) is a multiple of the sum of its prime divisors (1764).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6897 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 2^13677984 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 13677984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

13677984 is an abundant number, since it is smaller than the sum of its proper divisors (26682336).

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

13677984 is an equidigital number, since it uses as much as digits as its factorization.

13677984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1764 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13677984 is about 3698.3758597525. The cubic root of 13677984 is about 239.1520073139.

The spelling of 13677984 in words is "thirteen million, six hundred seventy-seven thousand, nine hundred eighty-four".