13865688 has 64 divisors (see below), whose sum is σ = 40204800. Its totient is φ = 4419360.

The previous prime is 13865653. The next prime is 13865689. The reversal of 13865688 is 88656831.

13865688 is a `hidden beast` number, since 1 + 3 + 86 + 568 + 8 = 666.

13865688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13865689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3573 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (628200).

Almost surely, 2^13865688 is an apocalyptic number.

13865688 is a gapful number since it is divisible by the number (18) 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 13865688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102400).

13865688 is an abundant number, since it is smaller than the sum of its proper divisors (26339112).

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

13865688 is a wasteful number, since it uses less digits than its factorization.

13865688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2819 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 13865688 is about 3723.6659356070. The cubic root of 13865688 is about 240.2410078990.

The spelling of 13865688 in words is "thirteen million, eight hundred sixty-five thousand, six hundred eighty-eight".