13867840 has 112 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 4608000.

The previous prime is 13867837. The next prime is 13867871. The reversal of 13867840 is 4876831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 13867840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91765 + ... + 91915.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^13867840 is an apocalyptic number.

13867840 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 13867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

13867840 is an abundant number, since it is smaller than the sum of its proper divisors (25049024).

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

13867840 is a wasteful number, since it uses less digits than its factorization.

13867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 13867840 is about 3723.9548869448. The cubic root of 13867840 is about 240.2534359853.

The spelling of 13867840 in words is "thirteen million, eight hundred sixty-seven thousand, eight hundred forty".