15368 has 16 divisors (see below), whose sum is σ = 30780. Its totient is φ = 7168.

The previous prime is 15361. The next prime is 15373. The reversal of 15368 is 86351.

15368 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 484 = 122^2 + 22^2 .

15368 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15361) by changing a digit.

15368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 192.

2¹⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

15368 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390).

15368 is a wasteful number, since it uses less digits than its factorization.

15368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 15368 is about 123.9677377385. The cubic root of 15368 is about 24.8621748993.

It can be divided in two parts, 153 and 68, that multiplied together give a square (10404 = 102²).

The spelling of 15368 in words is "fifteen thousand, three hundred sixty-eight".