1170056160 has 288 divisors, whose sum is σ = 4914786240. Its totient is φ = 246841344.

The previous prime is 1170056149. The next prime is 1170056221. The reversal of 1170056160 is 616500711.

1170056160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126576 + ... + 135504.

It is an arithmetic number, because the mean of its divisors is an integer number (17065230).

Almost surely, 2^1170056160 is an apocalyptic number.

1170056160 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 1170056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457393120).

1170056160 is an abundant number, since it is smaller than the sum of its proper divisors (3744730080).

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

1170056160 is a wasteful number, since it uses less digits than its factorization.

1170056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1170056160 is about 34206.0836694293. The cubic root of 1170056160 is about 1053.7451024118.

Adding to 1170056160 its reverse (616500711), we get a palindrome (1786556871).

The spelling of 1170056160 in words is "one billion, one hundred seventy million, fifty-six thousand, one hundred sixty".