13578 has 16 divisors (see below), whose sum is σ = 28416. Its totient is φ = 4320.

The previous prime is 13577. The next prime is 13591. The reversal of 13578 is 87531.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (13577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (1776).

2¹³⁵⁷⁸ is an apocalyptic number.

13578 is an abundant number, since it is smaller than the sum of its proper divisors (14838).

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 (14208).

13578 is a wasteful number, since it uses less digits than its factorization.

13578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109.

The product of its digits is 840, while the sum is 24.

The square root of 13578 is about 116.5246754984. The cubic root of 13578 is about 23.8567859949.

The spelling of 13578 in words is "thirteen thousand, five hundred seventy-eight".