13686720 has 112 divisors (see below), whose sum is σ = 44439840. Its totient is φ = 3567616.

The previous prime is 13686719. The next prime is 13686727. The reversal of 13686720 is 2768631.

13686720 = 82² + 83² + ... + 346².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13686727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50746 + ... + 51014.

Almost surely, 2^13686720 is an apocalyptic number.

13686720 is a gapful number since it is divisible by the number (10) 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 13686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219920).

13686720 is an abundant number, since it is smaller than the sum of its proper divisors (30753120).

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

13686720 is a wasteful number, since it uses less digits than its factorization.

13686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13686720 is about 3699.5567302043. The cubic root of 13686720 is about 239.2029111923.

The spelling of 13686720 in words is "thirteen million, six hundred eighty-six thousand, seven hundred twenty".