13680678 has 32 divisors (see below), whose sum is σ = 30419712. Its totient is φ = 4066400.

The previous prime is 13680677. The next prime is 13680679. The reversal of 13680678 is 87608631.

It is an interprime number because it is at equal distance from previous prime (13680677) and next prime (13680679).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (950616).

Almost surely, 2^13680678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209856).

13680678 is an abundant number, since it is smaller than the sum of its proper divisors (16739034).

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

13680678 is a wasteful number, since it uses less digits than its factorization.

13680678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 13680678 is about 3698.7400557487. The cubic root of 13680678 is about 239.1677073179.

The spelling of 13680678 in words is "thirteen million, six hundred eighty thousand, six hundred seventy-eight".