13845680 has 40 divisors (see below), whose sum is σ = 33889200. Its totient is φ = 5246208.

The previous prime is 13845679. The next prime is 13845703. The reversal of 13845680 is 8654831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13845680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3035 + ... + 6074.

It is an arithmetic number, because the mean of its divisors is an integer number (847230).

Almost surely, 2^13845680 is an apocalyptic number.

13845680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13845680 is an abundant number, since it is smaller than the sum of its proper divisors (20043520).

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

13845680 is a wasteful number, since it uses less digits than its factorization.

13845680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 13845680 is about 3720.9783659677. The cubic root of 13845680 is about 240.1253974327.

The spelling of 13845680 in words is "thirteen million, eight hundred forty-five thousand, six hundred eighty".