13958336 has 42 divisors (see below), whose sum is σ = 32228028. Its totient is φ = 5980800.

The previous prime is 13958333. The next prime is 13958353. The reversal of 13958336 is 63385931.

13958336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13958336.

It is not an unprimeable number, because it can be changed into a prime (13958333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 911 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (767334).

Almost surely, 2^13958336 is an apocalyptic number.

13958336 is a gapful number since it is divisible by the number (16) 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 13958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114014).

13958336 is an abundant number, since it is smaller than the sum of its proper divisors (18269692).

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

13958336 is an equidigital number, since it uses as much as digits as its factorization.

13958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4460 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 13958336 is about 3736.0856521231. The cubic root of 13958336 is about 240.7749027386.

The spelling of 13958336 in words is "thirteen million, nine hundred fifty-eight thousand, three hundred thirty-six".