13863920 has 80 divisors (see below), whose sum is σ = 38807040. Its totient is φ = 4499712.

The previous prime is 13863911. The next prime is 13863923. The reversal of 13863920 is 2936831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13863923) 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 15 ways as a sum of consecutive naturals, for example, 9989 + ... + 11291.

It is an arithmetic number, because the mean of its divisors is an integer number (485088).

Almost surely, 2^13863920 is an apocalyptic number.

13863920 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 13863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403520).

13863920 is an abundant number, since it is smaller than the sum of its proper divisors (24943120).

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

13863920 is a wasteful number, since it uses less digits than its factorization.

13863920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 13863920 is about 3723.4285275805. The cubic root of 13863920 is about 240.2307965014.

The spelling of 13863920 in words is "thirteen million, eight hundred sixty-three thousand, nine hundred twenty".