13855920 has 80 divisors (see below), whose sum is σ = 46267872. Its totient is φ = 3409920.

The previous prime is 13855903. The next prime is 13855927. The reversal of 13855920 is 2955831.

13855920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13855927) 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, 900 + ... + 5340.

Almost surely, 2^13855920 is an apocalyptic number.

13855920 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 13855920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133936).

13855920 is an abundant number, since it is smaller than the sum of its proper divisors (32411952).

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

13855920 is a wasteful number, since it uses less digits than its factorization.

13855920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 13855920 is about 3722.3540938498. The cubic root of 13855920 is about 240.1845802281.

The spelling of 13855920 in words is "thirteen million, eight hundred fifty-five thousand, nine hundred twenty".