13630188 has 96 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 3731520.

The previous prime is 13630187. The next prime is 13630189. The reversal of 13630188 is 88103631.

It is an interprime number because it is at equal distance from previous prime (13630187) and next prime (13630189).

It is not an unprimeable number, because it can be changed into a prime (13630181) 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 31 ways as a sum of consecutive naturals, for example, 289981 + ... + 290027.

It is an arithmetic number, because the mean of its divisors is an integer number (399840).

Almost surely, 2^13630188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

13630188 is an abundant number, since it is smaller than the sum of its proper divisors (24754452).

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

13630188 is a wasteful number, since it uses less digits than its factorization.

13630188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13630188 is about 3691.9084495691. The cubic root of 13630188 is about 238.8731199815.

The spelling of 13630188 in words is "thirteen million, six hundred thirty thousand, one hundred eighty-eight".