19488 has 48 divisors (see below), whose sum is σ = 60480. Its totient is φ = 5376.

The previous prime is 19483. The next prime is 19489. The reversal of 19488 is 88491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (19483) 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, 658 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹⁹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

19488 is an abundant number, since it is smaller than the sum of its proper divisors (40992).

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

19488 is a wasteful number, since it uses less digits than its factorization.

19488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 41 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 19488 is about 139.5994269329. The cubic root of 19488 is about 26.9105406838.

It can be divided in two parts, 194 and 88, that added together give a palindrome (282).

The spelling of 19488 in words is "nineteen thousand, four hundred eighty-eight".