1171307680 has 192 divisors, whose sum is σ = 3017710080. Its totient is φ = 428646400.

The previous prime is 1171307671. The next prime is 1171307693. The reversal of 1171307680 is 867031711.

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 31 ways as a sum of consecutive naturals, for example, 8941215 + ... + 8941345.

It is an arithmetic number, because the mean of its divisors is an integer number (15717240).

Almost surely, 2^1171307680 is an apocalyptic number.

1171307680 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 1171307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

1171307680 is an abundant number, since it is smaller than the sum of its proper divisors (1846402400).

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

1171307680 is a wasteful number, since it uses less digits than its factorization.

1171307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 1171307680 is about 34224.3726019923. The cubic root of 1171307680 is about 1054.1206721762.

The spelling of 1171307680 in words is "one billion, one hundred seventy-one million, three hundred seven thousand, six hundred eighty".