1171507968 has 72 divisors (see below), whose sum is σ = 3464375600. Its totient is φ = 390500352.

The previous prime is 1171507963. The next prime is 1171507991. The reversal of 1171507968 is 8697051711.

1171507968 is a `hidden beast` number, since 11 + 71 + 507 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171507963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77833 + ... + 91656.

Almost surely, 2^1171507968 is an apocalyptic number.

1171507968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1171507968 is an abundant number, since it is smaller than the sum of its proper divisors (2292867632).

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

1171507968 is an equidigital number, since it uses as much as digits as its factorization.

1171507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169514 (or 169494 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The square root of 1171507968 is about 34227.2985787660. The cubic root of 1171507968 is about 1054.1807519463.

The spelling of 1171507968 in words is "one billion, one hundred seventy-one million, five hundred seven thousand, nine hundred sixty-eight".