196761872 has 80 divisors (see below), whose sum is σ = 424258560. Its totient is φ = 87981696.

The previous prime is 196761871. The next prime is 196761883. The reversal of 196761872 is 278167691.

It is not an unprimeable number, because it can be changed into a prime (196761871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 748013 + ... + 748275.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2^196761872 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 196761872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

196761872 is an abundant number, since it is smaller than the sum of its proper divisors (227496688).

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

196761872 is a wasteful number, since it uses less digits than its factorization.

196761872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 254016, while the sum is 47.

The square root of 196761872 is about 14027.1833238181. The cubic root of 196761872 is about 581.6302450172.

The spelling of 196761872 in words is "one hundred ninety-six million, seven hundred sixty-one thousand, eight hundred seventy-two".