13685220 has 48 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 3649248.

The previous prime is 13685213. The next prime is 13685251. The reversal of 13685220 is 2258631.

13685220 is a `hidden beast` number, since 136 + 8 + 522 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 12132 + ... + 13211.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 2^13685220 is an apocalyptic number.

13685220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13685220 is an abundant number, since it is smaller than the sum of its proper divisors (28892700).

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

13685220 is a wasteful number, since it uses less digits than its factorization.

13685220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25361 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13685220 is about 3699.3539976596. The cubic root of 13685220 is about 239.1941723691.

The spelling of 13685220 in words is "thirteen million, six hundred eighty-five thousand, two hundred twenty".