196800 has 84 divisors (see below), whose sum is σ = 661416. Its totient is φ = 51200.

The previous prime is 196799. The next prime is 196817. The reversal of 196800 is 8691.

It is a super-3 number, since 3×196800³ = 22866333696000000, which contains 333 as substring.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4780 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2¹⁹⁶⁸⁰⁰ is an apocalyptic number.

196800 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 196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330708).

196800 is an abundant number, since it is smaller than the sum of its proper divisors (464616).

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

196800 is a wasteful number, since it uses less digits than its factorization.

196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

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

The square root of 196800 is about 443.6214602564. The cubic root of 196800 is about 58.1667811519.

The spelling of 196800 in words is "one hundred ninety-six thousand, eight hundred".