13767984 has 60 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 4388736.

The previous prime is 13767983. The next prime is 13768021. The reversal of 13767984 is 48976731.

It is not an unprimeable number, because it can be changed into a prime (13767983) 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, 1234 + ... + 5390.

Almost surely, 2^13767984 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 13767984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

13767984 is an abundant number, since it is smaller than the sum of its proper divisors (26448192).

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

13767984 is a wasteful number, since it uses less digits than its factorization.

13767984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4185 counting only the distinct ones).

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

The square root of 13767984 is about 3710.5234132128. The cubic root of 13767984 is about 239.6753944949.

It can be divided in two parts, 137 and 67984, that added together give a square (68121 = 261²).

The spelling of 13767984 in words is "thirteen million, seven hundred sixty-seven thousand, nine hundred eighty-four".