196820 has 24 divisors (see below), whose sum is σ = 445704. Its totient is φ = 72576.

The previous prime is 196817. The next prime is 196831. The reversal of 196820 is 28691.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 190096 = 82^2 + 436^2 .

It is a super-2 number, since 2×196820² = 77476224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 196820.

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 196820.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (18571).

2¹⁹⁶⁸²⁰ is an apocalyptic number.

196820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196820 is an abundant number, since it is smaller than the sum of its proper divisors (248884).

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

196820 is a wasteful number, since it uses less digits than its factorization.

196820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 196820 is about 443.6440014246. The cubic root of 196820 is about 58.1687515046.

The spelling of 196820 in words is "one hundred ninety-six thousand, eight hundred twenty".