1171056960 has 448 divisors, whose sum is σ = 4424232960. Its totient is φ = 290949120.

The previous prime is 1171056949. The next prime is 1171056973. The reversal of 1171056960 is 696501711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14109079 + ... + 14109161.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520).

Almost surely, 2^1171056960 is an apocalyptic number.

1171056960 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 1171056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212116480).

1171056960 is an abundant number, since it is smaller than the sum of its proper divisors (3253176000).

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

1171056960 is a wasteful number, since it uses less digits than its factorization.

1171056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1171056960 is about 34220.7095192370. The cubic root of 1171056960 is about 1054.0454548219.

The spelling of 1171056960 in words is "one billion, one hundred seventy-one million, fifty-six thousand, nine hundred sixty".