196872768 has 84 divisors (see below), whose sum is σ = 585246480. Its totient is φ = 65619072.

The previous prime is 196872727. The next prime is 196872769. The reversal of 196872768 is 867278691.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (196872769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9223 + ... + 21881.

It is an arithmetic number, because the mean of its divisors is an integer number (6967220).

Almost surely, 2^196872768 is an apocalyptic number.

196872768 is a gapful number since it is divisible by the number (18) 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 196872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292623240).

196872768 is an abundant number, since it is smaller than the sum of its proper divisors (388373712).

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

196872768 is an equidigital number, since it uses as much as digits as its factorization.

196872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12664 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 196872768 is about 14031.1356632313. The cubic root of 196872768 is about 581.7394944248.

The spelling of 196872768 in words is "one hundred ninety-six million, eight hundred seventy-two thousand, seven hundred sixty-eight".