196080 has 80 divisors (see below), whose sum is σ = 654720. Its totient is φ = 48384.

The previous prime is 196073. The next prime is 196081. The reversal of 196080 is 80691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 196080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196081) by changing a digit.

196080 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 15 ways as a sum of consecutive naturals, for example, 4539 + ... + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2¹⁹⁶⁰⁸⁰ is an apocalyptic number.

196080 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 196080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327360).

196080 is an abundant number, since it is smaller than the sum of its proper divisors (458640).

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

196080 is a wasteful number, since it uses less digits than its factorization.

196080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 196080 is about 442.8092139963. The cubic root of 196080 is about 58.0957593705.

The spelling of 196080 in words is "one hundred ninety-six thousand, eighty".