19536 has 40 divisors (see below), whose sum is σ = 56544. Its totient is φ = 5760.

The previous prime is 19531. The next prime is 19541. The reversal of 19536 is 63591.

It is an interprime number because it is at equal distance from previous prime (19531) and next prime (19541).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19531) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 510 + ... + 546.

2¹⁹⁵³⁶ is an apocalyptic number.

19536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272).

19536 is an abundant number, since it is smaller than the sum of its proper divisors (37008).

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

19536 is a wasteful number, since it uses less digits than its factorization.

19536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 19536 is about 139.7712416772. The cubic root of 19536 is about 26.9326166089.

Multiplying 19536 by its sum of digits (24), we get a palindrome (468864).

It can be divided in two parts, 195 and 36, that added together give a triangular number (231 = T₂₁).

The spelling of 19536 in words is "nineteen thousand, five hundred thirty-six".