19632 has 20 divisors (see below), whose sum is σ = 50840. Its totient is φ = 6528.

The previous prime is 19609. The next prime is 19661. The reversal of 19632 is 23691.

It is an Ulam number.

It is a plaindrome in base 7.

It is a nialpdrome in base 12.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19599 and 19608.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19632.

It is an unprimeable number.

19632 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, 157 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (2542).

2¹⁹⁶³² is an apocalyptic number.

19632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19632 is an abundant number, since it is smaller than the sum of its proper divisors (31208).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420).

19632 is a wasteful number, since it uses less digits than its factorization.

19632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 19632 is about 140.1142391051. The cubic root of 19632 is about 26.9766602141.

The spelling of 19632 in words is "nineteen thousand, six hundred thirty-two".