13867920 has 240 divisors, whose sum is σ = 54317952. Its totient is φ = 3133440.

The previous prime is 13867913. The next prime is 13867921. The reversal of 13867920 is 2976831.

13867920 is digitally balanced in base 2 and base 4, because in such bases 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13867921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134589 + ... + 134691.

Almost surely, 2^13867920 is an apocalyptic number.

13867920 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 13867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158976).

13867920 is an abundant number, since it is smaller than the sum of its proper divisors (40450032).

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

13867920 is a wasteful number, since it uses less digits than its factorization.

13867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13867920 is about 3723.9656281980. The cubic root of 13867920 is about 240.2538979712.

The spelling of 13867920 in words is "thirteen million, eight hundred sixty-seven thousand, nine hundred twenty".