13680468 has 48 divisors (see below), whose sum is σ = 35703360. Its totient is φ = 4529952.

The previous prime is 13680439. The next prime is 13680479. The reversal of 13680468 is 86408631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20955 + ... + 21597.

It is an arithmetic number, because the mean of its divisors is an integer number (743820).

Almost surely, 2^13680468 is an apocalyptic number.

13680468 is a gapful number since it is divisible by the number (18) 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 13680468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851680).

13680468 is an abundant number, since it is smaller than the sum of its proper divisors (22022892).

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

13680468 is a wasteful number, since it uses less digits than its factorization.

13680468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13680468 is about 3698.7116675945. The cubic root of 13680468 is about 239.1664835610.

The spelling of 13680468 in words is "thirteen million, six hundred eighty thousand, four hundred sixty-eight".