13686420 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3266560.

The previous prime is 13686401. The next prime is 13686433. The reversal of 13686420 is 2468631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 58624 + ... + 58856.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^13686420 is an apocalyptic number.

13686420 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 13686420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13686420 is an abundant number, since it is smaller than the sum of its proper divisors (28770540).

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

13686420 is a wasteful number, since it uses less digits than its factorization.

13686420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13686420 is about 3699.5161845841. The cubic root of 13686420 is about 239.2011634787.

The spelling of 13686420 in words is "thirteen million, six hundred eighty-six thousand, four hundred twenty".