19992 has 48 divisors (see below), whose sum is σ = 61560. Its totient is φ = 5376.

The previous prime is 19991. The next prime is 19993. The reversal of 19992 is 29991.

It is an interprime number because it is at equal distance from previous prime (19991) and next prime (19993).

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19992.

It is not an unprimeable number, because it can be changed into a prime (19991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168 + ... + 1184.

2¹⁹⁹⁹² is an apocalyptic number.

19992 is a gapful number since it is divisible by the number (12) 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 19992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30780).

19992 is an abundant number, since it is smaller than the sum of its proper divisors (41568).

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

19992 is a wasteful number, since it uses less digits than its factorization.

19992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 29 counting only the distinct ones).

The product of its digits is 1458, while the sum is 30.

The square root of 19992 is about 141.3930691371. The cubic root of 19992 is about 27.1405564598.

Subtracting 19992 from its reverse (29991), we obtain a palindrome (9999).

The spelling of 19992 in words is "nineteen thousand, nine hundred ninety-two".