196980 has 72 divisors (see below), whose sum is σ = 651168. Its totient is φ = 44352.

The previous prime is 196961. The next prime is 196991. The reversal of 196980 is 89691.

It is a happy number.

It is a super-2 number, since 2×196980² = 77602240800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2907 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (9044).

2¹⁹⁶⁹⁸⁰ is an apocalyptic number.

196980 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 196980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584).

196980 is an abundant number, since it is smaller than the sum of its proper divisors (454188).

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

196980 is a wasteful number, since it uses less digits than its factorization.

196980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 196980 is about 443.8242895561. The cubic root of 196980 is about 58.1845095228.

It can be divided in two parts, 196 and 980, that added together give a triangular number (1176 = T₄₈).

The spelling of 196980 in words is "one hundred ninety-six thousand, nine hundred eighty".