1171003680 has 576 divisors, whose sum is σ = 5094835200. Its totient is φ = 237864960.

The previous prime is 1171003661. The next prime is 1171003681. The reversal of 1171003680 is 863001711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171003681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6541831 + ... + 6542009.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^1171003680 is an apocalyptic number.

1171003680 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 1171003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1171003680 is an abundant number, since it is smaller than the sum of its proper divisors (3923831520).

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

1171003680 is a wasteful number, since it uses less digits than its factorization.

1171003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1171003680 is about 34219.9310344133. The cubic root of 1171003680 is about 1054.0294691510.

The spelling of 1171003680 in words is "one billion, one hundred seventy-one million, three thousand, six hundred eighty".