13938912 has 192 divisors, whose sum is σ = 46992960. Its totient is φ = 3981312.

The previous prime is 13938907. The next prime is 13938919. The reversal of 13938912 is 21983931.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (11664) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13938919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190908 + ... + 190980.

It is an arithmetic number, because the mean of its divisors is an integer number (244755).

Almost surely, 2^13938912 is an apocalyptic number.

13938912 is a gapful number since it is divisible by the number (12) 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 13938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).

13938912 is an abundant number, since it is smaller than the sum of its proper divisors (33054048).

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

13938912 is a wasteful number, since it uses less digits than its factorization.

13938912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13938912 is about 3733.4852350050. The cubic root of 13938912 is about 240.6631658582.

The spelling of 13938912 in words is "thirteen million, nine hundred thirty-eight thousand, nine hundred twelve".