13630806 has 48 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 3870000.

The previous prime is 13630801. The next prime is 13630807. The reversal of 13630806 is 60803631.

13630806 = T₁₉₆ + T₁₉₇ + ... + T₄₄₆.

It is a self number, because there is not a number n which added to its sum of digits gives 13630806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31411 + ... + 31841.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^13630806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

13630806 is an abundant number, since it is smaller than the sum of its proper divisors (20334762).

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

13630806 is a wasteful number, since it uses less digits than its factorization.

13630806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13630806 is about 3691.9921451704. The cubic root of 13630806 is about 238.8767301385.

The spelling of 13630806 in words is "thirteen million, six hundred thirty thousand, eight hundred six".