196736 has 32 divisors (see below), whose sum is σ = 413100. Its totient is φ = 93184.

The previous prime is 196727. The next prime is 196739. The reversal of 196736 is 637691.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 3136 = 440^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (6804) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (196739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3686 + ... + 3738.

2¹⁹⁶⁷³⁶ is an apocalyptic number.

196736 is a gapful number since it is divisible by the number (16) 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 196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206550).

196736 is an abundant number, since it is smaller than the sum of its proper divisors (216364).

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

196736 is an equidigital number, since it uses as much as digits as its factorization.

196736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 196736 is about 443.5493208201. The cubic root of 196736 is about 58.1604751261.

The spelling of 196736 in words is "one hundred ninety-six thousand, seven hundred thirty-six".