13866240 has 144 divisors (see below), whose sum is σ = 46505088. Its totient is φ = 3514368.

The previous prime is 13866233. The next prime is 13866283. The reversal of 13866240 is 4266831.

It is a super-2 number, since 2×13866240² = 384545223475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13866198 and 13866207.

It is a congruent number.

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, 88242 + ... + 88398.

It is an arithmetic number, because the mean of its divisors is an integer number (322952).

Almost surely, 2^13866240 is an apocalyptic number.

13866240 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 13866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252544).

13866240 is an abundant number, since it is smaller than the sum of its proper divisors (32638848).

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

13866240 is a wasteful number, since it uses less digits than its factorization.

13866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13866240 is about 3723.7400553744. The cubic root of 13866240 is about 240.2441958950.

It can be divided in two parts, 1386 and 6240, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 13866240 in words is "thirteen million, eight hundred sixty-six thousand, two hundred forty".