1196731872 has 288 divisors, whose sum is σ = 4140864000. Its totient is φ = 320246784.

The previous prime is 1196731867. The next prime is 1196731873. The reversal of 1196731872 is 2781376911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1196731873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6013629 + ... + 6013827.

It is an arithmetic number, because the mean of its divisors is an integer number (14378000).

Almost surely, 2^1196731872 is an apocalyptic number.

1196731872 is a gapful number since it is divisible by the number (12) 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 1196731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070432000).

1196731872 is an abundant number, since it is smaller than the sum of its proper divisors (2944132128).

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

1196731872 is a wasteful number, since it uses less digits than its factorization.

1196731872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 1196731872 is about 34593.8126259596. The cubic root of 1196731872 is about 1061.6929964737.

The spelling of 1196731872 in words is "one billion, one hundred ninety-six million, seven hundred thirty-one thousand, eight hundred seventy-two".