15468 has 12 divisors (see below), whose sum is σ = 36120. Its totient is φ = 5152.

The previous prime is 15467. The next prime is 15473. The reversal of 15468 is 86451.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (15461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (3010).

2¹⁵⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

15468 is an abundant number, since it is smaller than the sum of its proper divisors (20652).

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 (18060).

15468 is a wasteful number, since it uses less digits than its factorization.

15468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 15468 is about 124.3704144883. The cubic root of 15468 is about 24.9159846397.

It can be divided in two parts, 154 and 68, that added together give a palindrome (222).

The spelling of 15468 in words is "fifteen thousand, four hundred sixty-eight".