13871920 has 40 divisors (see below), whose sum is σ = 32413104. Its totient is φ = 5521152.

The previous prime is 13871863. The next prime is 13871927. The reversal of 13871920 is 2917831.

13871920 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 (40).

It is not an unprimeable number, because it can be changed into a prime (13871927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25087 + ... + 25633.

Almost surely, 2^13871920 is an apocalyptic number.

13871920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13871920 is an abundant number, since it is smaller than the sum of its proper divisors (18541184).

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

13871920 is a wasteful number, since it uses less digits than its factorization.

13871920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 13871920 is about 3724.5026513617. The cubic root of 13871920 is about 240.2769949992.

The spelling of 13871920 in words is "thirteen million, eight hundred seventy-one thousand, nine hundred twenty".