13630344 has 96 divisors (see below), whose sum is σ = 42477120. Its totient is φ = 3549312.

The previous prime is 13630307. The next prime is 13630363. The reversal of 13630344 is 44303631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 172497 + ... + 172575.

It is an arithmetic number, because the mean of its divisors is an integer number (442470).

Almost surely, 2^13630344 is an apocalyptic number.

13630344 is a gapful number since it is divisible by the number (14) 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 13630344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21238560).

13630344 is an abundant number, since it is smaller than the sum of its proper divisors (28846776).

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

13630344 is a wasteful number, since it uses less digits than its factorization.

13630344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 13630344 is about 3691.9295767931. The cubic root of 13630344 is about 238.8740312936.

Adding to 13630344 its reverse (44303631), we get a palindrome (57933975).

The spelling of 13630344 in words is "thirteen million, six hundred thirty thousand, three hundred forty-four".