13937868 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3628800.

The previous prime is 13937851. The next prime is 13937921. The reversal of 13937868 is 86873931.

It is a happy number.

13937868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196273 + ... + 196343.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^13937868 is an apocalyptic number.

13937868 is a gapful number since it is divisible by the number (18) 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 13937868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13937868 is an abundant number, since it is smaller than the sum of its proper divisors (30091572).

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

13937868 is a wasteful number, since it uses less digits than its factorization.

13937868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13937868 is about 3733.3454166471. The cubic root of 13937868 is about 240.6571572922.

It can be divided in two parts, 1393 and 7868, that added together give a cube (9261 = 21³).

The spelling of 13937868 in words is "thirteen million, nine hundred thirty-seven thousand, eight hundred sixty-eight".