13680414 has 56 divisors (see below), whose sum is σ = 33603192. Its totient is φ = 4140720.

The previous prime is 13680397. The next prime is 13680439. The reversal of 13680414 is 41408631.

It is a super-2 number, since 2×13680414² = 374307454422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15612 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (600057).

Almost surely, 2^13680414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801596).

13680414 is an abundant number, since it is smaller than the sum of its proper divisors (19922778).

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

13680414 is an equidigital number, since it uses as much as digits as its factorization.

13680414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13680414 is about 3698.7043677483. The cubic root of 13680414 is about 239.1661688786.

The spelling of 13680414 in words is "thirteen million, six hundred eighty thousand, four hundred fourteen".