1189993680 has 200 divisors, whose sum is σ = 4152357000. Its totient is φ = 315850752.

The previous prime is 1189993663. The next prime is 1189993681. The reversal of 1189993680 is 863999811.

It can be written as a sum of positive squares in 4 ways, for example, as 403527744 + 786465936 = 20088^2 + 28044^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189993681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2650096 + ... + 2650544.

It is an arithmetic number, because the mean of its divisors is an integer number (20761785).

Almost surely, 2^1189993680 is an apocalyptic number.

1189993680 is a gapful number since it is divisible by the number (10) 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 1189993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076178500).

1189993680 is an abundant number, since it is smaller than the sum of its proper divisors (2962363320).

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

1189993680 is a wasteful number, since it uses less digits than its factorization.

1189993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1189993680 is about 34496.2850173754. The cubic root of 1189993680 is about 1059.6966261286.

The spelling of 1189993680 in words is "one billion, one hundred eighty-nine million, nine hundred ninety-three thousand, six hundred eighty".