13383936 has 108 divisors (see below), whose sum is σ = 39884572. Its totient is φ = 4313088.

The previous prime is 13383911. The next prime is 13383967. The reversal of 13383936 is 63938331.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 5089536 = 2880^2 + 2256^2 .

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 (34992) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 13383936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85170 + ... + 85326.

Almost surely, 2^13383936 is an apocalyptic number.

13383936 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 13383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19942286).

13383936 is an abundant number, since it is smaller than the sum of its proper divisors (26500636).

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

13383936 is a wasteful number, since it uses less digits than its factorization.

13383936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13383936 is about 3658.4062103599. The cubic root of 13383936 is about 237.4258220793.

The spelling of 13383936 in words is "thirteen million, three hundred eighty-three thousand, nine hundred thirty-six".