196776 has 32 divisors (see below), whose sum is σ = 547200. Its totient is φ = 65520.

The previous prime is 196771. The next prime is 196799. The reversal of 196776 is 677691.

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

It is a self number, because there is not a number n which added to its sum of digits gives 196776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196771) by changing a digit.

196776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2¹⁹⁶⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

196776 is an abundant number, since it is smaller than the sum of its proper divisors (350424).

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

196776 is a wasteful number, since it uses less digits than its factorization.

196776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 196776 is about 443.5944093426. The cubic root of 196776 is about 58.1644165525.

It can be divided in two parts, 19677 and 6, that added together give a 9-th power (19683 = 3⁹).

The spelling of 196776 in words is "one hundred ninety-six thousand, seven hundred seventy-six".