19552 has 24 divisors (see below), whose sum is σ = 42336. Its totient is φ = 8832.

The previous prime is 19543. The next prime is 19553. The reversal of 19552 is 25591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19553) 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 3 ways as a sum of consecutive naturals, for example, 393 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2¹⁹⁵⁵² 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 19552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

19552 is an abundant number, since it is smaller than the sum of its proper divisors (22784).

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

19552 is a wasteful number, since it uses less digits than its factorization.

19552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The square root of 19552 is about 139.8284663436. The cubic root of 19552 is about 26.9399672143.

Adding to 19552 its product of digits (450), we get a palindrome (20002).

The spelling of 19552 in words is "nineteen thousand, five hundred fifty-two".