13238016 has 72 divisors (see below), whose sum is σ = 38459904. Its totient is φ = 4008960.

The previous prime is 13238011. The next prime is 13238047. The reversal of 13238016 is 61083231.

13238016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13238011) 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, 7665 + ... + 9231.

Almost surely, 2^13238016 is an apocalyptic number.

13238016 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 13238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229952).

13238016 is an abundant number, since it is smaller than the sum of its proper divisors (25221888).

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

13238016 is a wasteful number, since it uses less digits than its factorization.

13238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13238016 is about 3638.4084432620. The cubic root of 13238016 is about 236.5598124608.

It can be divided in two parts, 1323 and 8016, that added together give a palindrome (9339).

The spelling of 13238016 in words is "thirteen million, two hundred thirty-eight thousand, sixteen".