13365216 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 4302720.

The previous prime is 13365199. The next prime is 13365223. The reversal of 13365216 is 61256331.

13365216 is a `hidden beast` number, since 1 + 3 + 3 + 652 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13365216.

It is a congruent number.

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, 26535 + ... + 27033.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 2^13365216 is an apocalyptic number.

13365216 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 13365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

13365216 is an abundant number, since it is smaller than the sum of its proper divisors (26954784).

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

13365216 is a wasteful number, since it uses less digits than its factorization.

13365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13365216 is about 3655.8468239247. The cubic root of 13365216 is about 237.3150752552.

The spelling of 13365216 in words is "thirteen million, three hundred sixty-five thousand, two hundred sixteen".