196992 has 80 divisors (see below), whose sum is σ = 617100. Its totient is φ = 62208.

The previous prime is 196991. The next prime is 196993. The reversal of 196992 is 299691.

It is an interprime number because it is at equal distance from previous prime (196991) and next prime (196993).

It is a super-3 number, since 3×196992³ = 22933324865470464, which contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

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 196992.

It is not an unprimeable number, because it can be changed into a prime (196991) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10359 + ... + 10377.

2¹⁹⁶⁹⁹² is an apocalyptic number.

196992 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 196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308550).

196992 is an abundant number, since it is smaller than the sum of its proper divisors (420108).

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

196992 is an equidigital number, since it uses as much as digits as its factorization.

196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 24 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 196992 is about 443.8378082138. The cubic root of 196992 is about 58.1856910301.

It can be divided in two parts, 19699 and 2, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 196992 in words is "one hundred ninety-six thousand, nine hundred ninety-two".