13662306 has 48 divisors (see below), whose sum is σ = 35006400. Its totient is φ = 3767904.

The previous prime is 13662293. The next prime is 13662323. The reversal of 13662306 is 60326631.

13662306 is a `hidden beast` number, since 1 + 36 + 623 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13662306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785 + ... + 5523.

It is an arithmetic number, because the mean of its divisors is an integer number (729300).

Almost surely, 2^13662306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13662306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503200).

13662306 is an abundant number, since it is smaller than the sum of its proper divisors (21344094).

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

13662306 is a wasteful number, since it uses less digits than its factorization.

13662306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13662306 is about 3696.2556729750. The cubic root of 13662306 is about 239.0605986521.

Adding to 13662306 its reverse (60326631), we get a palindrome (73988937).

The spelling of 13662306 in words is "thirteen million, six hundred sixty-two thousand, three hundred six".