1171670760 has 384 divisors, whose sum is σ = 4334148000. Its totient is φ = 272498688.

The previous prime is 1171670743. The next prime is 1171670771. The reversal of 1171670760 is 670761711.

1171670760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3261636 + 1168409124 = 1806^2 + 34182^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12079032 + ... + 12079128.

Almost surely, 2^1171670760 is an apocalyptic number.

1171670760 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 1171670760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167074000).

1171670760 is an abundant number, since it is smaller than the sum of its proper divisors (3162477240).

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

1171670760 is a wasteful number, since it uses less digits than its factorization.

1171670760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 1171670760 is about 34229.6765979464. The cubic root of 1171670760 is about 1054.2295791130.

The spelling of 1171670760 in words is "one billion, one hundred seventy-one million, six hundred seventy thousand, seven hundred sixty".