19520 has 28 divisors (see below), whose sum is σ = 47244. Its totient is φ = 7680.

The previous prime is 19507. The next prime is 19531. The reversal of 19520 is 2591.

19520 is nontrivially palindromic in base 3 and base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 16384 = 56^2 + 128^2 .

It is an unprimeable number.

19520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 350.

2¹⁹⁵²⁰ is an apocalyptic number.

19520 is a gapful number since it is divisible by the number (10) 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 19520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23622).

19520 is an abundant number, since it is smaller than the sum of its proper divisors (27724).

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

19520 is an equidigital number, since it uses as much as digits as its factorization.

19520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 19520 is about 139.7139935726. The cubic root of 19520 is about 26.9252619891.

Subtracting from 19520 its sum of digits (17), we obtain a triangular number (19503 = T₁₉₇).

The spelling of 19520 in words is "nineteen thousand, five hundred twenty".