1191082368 has 192 divisors, whose sum is σ = 3713713920. Its totient is φ = 331269120.

The previous prime is 1191082367. The next prime is 1191082379. The reversal of 1191082368 is 8632801911.

1191082368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191082367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15076953 + ... + 15077031.

It is an arithmetic number, because the mean of its divisors is an integer number (19342260).

Almost surely, 2^1191082368 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 1191082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856856960).

1191082368 is an abundant number, since it is smaller than the sum of its proper divisors (2522631552).

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

1191082368 is an frugal number, since it uses more digits than its factorization.

1191082368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1191082368 is about 34512.0611960514. The cubic root of 1191082368 is about 1060.0196887289.

The spelling of 1191082368 in words is "one billion, one hundred ninety-one million, eighty-two thousand, three hundred sixty-eight".