1171013760 has 480 divisors, whose sum is σ = 4875213420. Its totient is φ = 267079680.

The previous prime is 1171013693. The next prime is 1171013773. The reversal of 1171013760 is 673101711.

It can be written as a sum of positive squares in 2 ways, for example, as 1140277824 + 30735936 = 33768^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1171013760² = 2742546452218675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2539930 + ... + 2540390.

Almost surely, 2^1171013760 is an apocalyptic number.

1171013760 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 1171013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437606710).

1171013760 is an abundant number, since it is smaller than the sum of its proper divisors (3704199660).

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

1171013760 is an equidigital number, since it uses as much as digits as its factorization.

1171013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1171013760 is about 34220.0783166842. The cubic root of 1171013760 is about 1054.0324935043.

The spelling of 1171013760 in words is "one billion, one hundred seventy-one million, thirteen thousand, seven hundred sixty".