13857680 has 40 divisors (see below), whose sum is σ = 32622912. Its totient is φ = 5473664.

The previous prime is 13857667. The next prime is 13857691. The reversal of 13857680 is 8675831.

13857680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 5597 + ... + 7683.

Almost surely, 2^13857680 is an apocalyptic number.

13857680 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 13857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456).

13857680 is an abundant number, since it is smaller than the sum of its proper divisors (18765232).

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

13857680 is a wasteful number, since it uses less digits than its factorization.

13857680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 13857680 is about 3722.5904958778. The cubic root of 13857680 is about 240.1947493342.

The spelling of 13857680 in words is "thirteen million, eight hundred fifty-seven thousand, six hundred eighty".