13566816 has 108 divisors (see below), whose sum is σ = 41235012. Its totient is φ = 4230144.

The previous prime is 13566797. The next prime is 13566829. The reversal of 13566816 is 61866531.

It is a happy number.

13566816 is a `hidden beast` number, since 13 + 566 + 81 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83151 + ... + 83313.

Almost surely, 2^13566816 is an apocalyptic number.

13566816 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 13566816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617506).

13566816 is an abundant number, since it is smaller than the sum of its proper divisors (27668196).

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

13566816 is a wasteful number, since it uses less digits than its factorization.

13566816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13566816 is about 3683.3158973946. The cubic root of 13566816 is about 238.5023403380.

The spelling of 13566816 in words is "thirteen million, five hundred sixty-six thousand, eight hundred sixteen".