13365536 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 6190080.

The previous prime is 13365529. The next prime is 13365559. The reversal of 13365536 is 63556331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42821 + ... + 43131.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^13365536 is an apocalyptic number.

13365536 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 13365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

13365536 is an abundant number, since it is smaller than the sum of its proper divisors (14939104).

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

13365536 is a wasteful number, since it uses less digits than its factorization.

13365536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 24300, while the sum is 32.

The square root of 13365536 is about 3655.8905891725. The cubic root of 13365536 is about 237.3169692318.

The spelling of 13365536 in words is "thirteen million, three hundred sixty-five thousand, five hundred thirty-six".