1177968000 has 512 divisors, whose sum is σ = 4491002880. Its totient is φ = 270336000.

The previous prime is 1177967971. The next prime is 1177968031. The reversal of 1177968000 is 8697711.

It is a self number, because there is not a number n which added to its sum of digits gives 1177968000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12143952 + ... + 12144048.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^1177968000 is an apocalyptic number.

1177968000 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 1177968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1177968000 is an abundant number, since it is smaller than the sum of its proper divisors (3313034880).

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

1177968000 is a wasteful number, since it uses less digits than its factorization.

1177968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 1177968000 is about 34321.5384270577. The cubic root of 1177968000 is about 1056.1148864905.

The spelling of 1177968000 in words is "one billion, one hundred seventy-seven million, nine hundred sixty-eight thousand".