13685280 has 96 divisors (see below), whose sum is σ = 49279104. Its totient is φ = 3127296.

The previous prime is 13685279. The next prime is 13685297. The reversal of 13685280 is 8258631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (513324).

Almost surely, 2^13685280 is an apocalyptic number.

13685280 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 13685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24639552).

13685280 is an abundant number, since it is smaller than the sum of its proper divisors (35593824).

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

13685280 is a wasteful number, since it uses less digits than its factorization.

13685280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13685280 is about 3699.3621071747. The cubic root of 13685280 is about 239.1945219343.

The spelling of 13685280 in words is "thirteen million, six hundred eighty-five thousand, two hundred eighty".