1191048672 has 192 divisors, whose sum is σ = 3511517184. Its totient is φ = 350461440.

The previous prime is 1191048659. The next prime is 1191048689. The reversal of 1191048672 is 2768401911.

It is a self number, because there is not a number n which added to its sum of digits gives 1191048672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9378273 + ... + 9378399.

It is an arithmetic number, because the mean of its divisors is an integer number (18289152).

Almost surely, 2^1191048672 is an apocalyptic number.

1191048672 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 1191048672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755758592).

1191048672 is an abundant number, since it is smaller than the sum of its proper divisors (2320468512).

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

1191048672 is a wasteful number, since it uses less digits than its factorization.

1191048672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1191048672 is about 34511.5730154393. The cubic root of 1191048672 is about 1060.0096925659.

The spelling of 1191048672 in words is "one billion, one hundred ninety-one million, forty-eight thousand, six hundred seventy-two".