13685880 has 128 divisors (see below), whose sum is σ = 45803520. Its totient is φ = 3248640.

The previous prime is 13685869. The next prime is 13685887. The reversal of 13685880 is 8858631.

13685880 = T₄₂₄ + T₄₂₅ + ... + T₅₄₀.

It is a happy number.

It is a super-2 number, since 2×13685880² = 374606622748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685887) 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 31 ways as a sum of consecutive naturals, for example, 48219 + ... + 48501.

It is an arithmetic number, because the mean of its divisors is an integer number (357840).

Almost surely, 2^13685880 is an apocalyptic number.

13685880 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 13685880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22901760).

13685880 is an abundant number, since it is smaller than the sum of its proper divisors (32117640).

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

13685880 is a wasteful number, since it uses less digits than its factorization.

13685880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 13685880 is about 3699.4432013480. The cubic root of 13685880 is about 239.1980175300.

The spelling of 13685880 in words is "thirteen million, six hundred eighty-five thousand, eight hundred eighty".