13866840 has 96 divisors (see below), whose sum is σ = 48550320. Its totient is φ = 3412224.

The previous prime is 13866821. The next prime is 13866841. The reversal of 13866840 is 4866831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13866795 and 13866804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13866841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199 + ... + 6161.

Almost surely, 2^13866840 is an apocalyptic number.

13866840 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 13866840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275160).

13866840 is an abundant number, since it is smaller than the sum of its proper divisors (34683480).

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

13866840 is a wasteful number, since it uses less digits than its factorization.

13866840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13866840 is about 3723.8206186657. The cubic root of 13866840 is about 240.2476610122.

Subtracting from 13866840 its reverse (4866831), we obtain a palindrome (9000009).

It can be divided in two parts, 13866 and 840, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 13866840 in words is "thirteen million, eight hundred sixty-six thousand, eight hundred forty".