19530 has 48 divisors (see below), whose sum is σ = 59904. Its totient is φ = 4320.

The previous prime is 19507. The next prime is 19531. The reversal of 19530 is 3591.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 5.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (1248).

2¹⁹⁵³⁰ is an apocalyptic number.

19530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952).

19530 is an abundant number, since it is smaller than the sum of its proper divisors (40374).

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

19530 is a wasteful number, since it uses less digits than its factorization.

19530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 19530 is about 139.7497763862. The cubic root of 19530 is about 26.9298590972.

It can be divided in two parts, 195 and 30, that added together give a square (225 = 15²).

The spelling of 19530 in words is "nineteen thousand, five hundred thirty".