13685210 has 48 divisors (see below), whose sum is σ = 31272480. Its totient is φ = 4263840.

The previous prime is 13685209. The next prime is 13685213. The reversal of 13685210 is 1258631.

13685210 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13685210 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13685210.

It is not an unprimeable number, because it can be changed into a prime (13685213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4121 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^13685210 is an apocalyptic number.

13685210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13685210 is an abundant number, since it is smaller than the sum of its proper divisors (17587270).

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

13685210 is a wasteful number, since it uses less digits than its factorization.

13685210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 13685210 is about 3699.3526460720. The cubic root of 13685210 is about 239.1941141082.

The spelling of 13685210 in words is "thirteen million, six hundred eighty-five thousand, two hundred ten".