13668984 has 96 divisors (see below), whose sum is σ = 43511520. Its totient is φ = 3794688.

The previous prime is 13668979. The next prime is 13668989. The reversal of 13668984 is 48986631.

It is an interprime number because it is at equal distance from previous prime (13668979) and next prime (13668989).

It is a super-2 number, since 2×13668984² = 373682247184512, which contains 22 as substring.

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 (13668989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18282 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (453245).

Almost surely, 2^13668984 is an apocalyptic number.

13668984 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 13668984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755760).

13668984 is an abundant number, since it is smaller than the sum of its proper divisors (29842536).

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

13668984 is a wasteful number, since it uses less digits than its factorization.

13668984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 13668984 is about 3697.1589092166. The cubic root of 13668984 is about 239.0995424594.

The spelling of 13668984 in words is "thirteen million, six hundred sixty-eight thousand, nine hundred eighty-four".