1187968768 has 288 divisors, whose sum is σ = 3131735040. Its totient is φ = 437944320.

The previous prime is 1187968753. The next prime is 1187968777. The reversal of 1187968768 is 8678697811.

It is a super-3 number, since 3×1187968768³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28974828 + ... + 28974868.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^1187968768 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 1187968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

1187968768 is an abundant number, since it is smaller than the sum of its proper divisors (1943766272).

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

1187968768 is a wasteful number, since it uses less digits than its factorization.

1187968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 61.

The square root of 1187968768 is about 34466.9228101378. The cubic root of 1187968768 is about 1059.0952193852.

The spelling of 1187968768 in words is "one billion, one hundred eighty-seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".