13238736 has 120 divisors (see below), whose sum is σ = 41372352. Its totient is φ = 3571200.

The previous prime is 13238723. The next prime is 13238747. The reversal of 13238736 is 63783231.

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 13238697 and 13238706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322876 + ... + 322916.

Almost surely, 2^13238736 is an apocalyptic number.

13238736 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 13238736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686176).

13238736 is an abundant number, since it is smaller than the sum of its proper divisors (28133616).

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

13238736 is a wasteful number, since it uses less digits than its factorization.

13238736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 13238736 is about 3638.5073862781. The cubic root of 13238736 is about 236.5641011190.

The spelling of 13238736 in words is "thirteen million, two hundred thirty-eight thousand, seven hundred thirty-six".