13642368 has 32 divisors (see below), whose sum is σ = 36238560. Its totient is φ = 4547328.

The previous prime is 13642357. The next prime is 13642423. The reversal of 13642368 is 86324631.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13642368² = 372228409294848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17380 + ... + 18147.

It is an arithmetic number, because the mean of its divisors is an integer number (1132455).

Almost surely, 2^13642368 is an apocalyptic number.

It is an amenable number.

13642368 is an abundant number, since it is smaller than the sum of its proper divisors (22596192).

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

13642368 is an equidigital number, since it uses as much as digits as its factorization.

13642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35544 (or 35532 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 13642368 is about 3693.5576345848. The cubic root of 13642368 is about 238.9442515118.

Adding to 13642368 its reverse (86324631), we get a palindrome (99966999).

The spelling of 13642368 in words is "thirteen million, six hundred forty-two thousand, three hundred sixty-eight".