196766752 has 120 divisors (see below), whose sum is σ = 489155436. Its totient is φ = 77446656.

The previous prime is 196766747. The next prime is 196766761. The reversal of 196766752 is 257667691.

It can be written as a sum of positive squares in 2 ways, for example, as 193655056 + 3111696 = 13916^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 196766696 and 196766705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 998718 + ... + 998914.

Almost surely, 2^196766752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196766752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244577718).

196766752 is an abundant number, since it is smaller than the sum of its proper divisors (292388684).

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

196766752 is an equidigital number, since it uses as much as digits as its factorization.

196766752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 196766752 is about 14027.3572707050. The cubic root of 196766752 is about 581.6350534219.

The spelling of 196766752 in words is "one hundred ninety-six million, seven hundred sixty-six thousand, seven hundred fifty-two".