13642304 has 56 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 5958144.

The previous prime is 13642303. The next prime is 13642319. The reversal of 13642304 is 40324631.

It is a happy number.

It is a super-2 number, since 2×13642304² = 372224916856832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13642304.

It is not an unprimeable number, because it can be changed into a prime (13642303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15377 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^13642304 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 13642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

13642304 is an abundant number, since it is smaller than the sum of its proper divisors (17081536).

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

13642304 is a wasteful number, since it uses less digits than its factorization.

13642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 13642304 is about 3693.5489708409. The cubic root of 13642304 is about 238.9438778607.

Adding to 13642304 its reverse (40324631), we get a palindrome (53966935).

The spelling of 13642304 in words is "thirteen million, six hundred forty-two thousand, three hundred four".