13509936 has 80 divisors (see below), whose sum is σ = 42318720. Its totient is φ = 4092480.

The previous prime is 13509919. The next prime is 13509943. The reversal of 13509936 is 63990531.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13509936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (528984).

Almost surely, 2^13509936 is an apocalyptic number.

13509936 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 13509936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159360).

13509936 is an abundant number, since it is smaller than the sum of its proper divisors (28808784).

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

13509936 is a wasteful number, since it uses less digits than its factorization.

13509936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13509936 is about 3675.5864838145. The cubic root of 13509936 is about 238.1685598283.

The spelling of 13509936 in words is "thirteen million, five hundred nine thousand, nine hundred thirty-six".