13681668 has 192 divisors, whose sum is σ = 46061568. Its totient is φ = 3041280.

The previous prime is 13681667. The next prime is 13681669. The reversal of 13681668 is 86618631.

It is an interprime number because it is at equal distance from previous prime (13681667) and next prime (13681669).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13681663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204171 + ... + 204237.

It is an arithmetic number, because the mean of its divisors is an integer number (239904).

Almost surely, 2^13681668 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 13681668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784).

13681668 is an abundant number, since it is smaller than the sum of its proper divisors (32379900).

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

13681668 is a wasteful number, since it uses less digits than its factorization.

13681668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 13681668 is about 3698.8738826838. The cubic root of 13681668 is about 239.1734762893.

The spelling of 13681668 in words is "thirteen million, six hundred eighty-one thousand, six hundred sixty-eight".