13385736 has 160 divisors (see below), whose sum is σ = 46347840. Its totient is φ = 3514752.

The previous prime is 13385731. The next prime is 13385759. The reversal of 13385736 is 63758331.

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

Its product of digits (45360) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 13385736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58855 + ... + 59081.

It is an arithmetic number, because the mean of its divisors is an integer number (289674).

Almost surely, 2^13385736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13385736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

13385736 is an abundant number, since it is smaller than the sum of its proper divisors (32962104).

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

13385736 is a wasteful number, since it uses less digits than its factorization.

13385736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13385736 is about 3658.6522108558. The cubic root of 13385736 is about 237.4364653689.

The spelling of 13385736 in words is "thirteen million, three hundred eighty-five thousand, seven hundred thirty-six".