1170 has 24 divisors (see below), whose sum is σ = 3276. Its totient is φ = 288.

The previous prime is 1163. The next prime is 1171. The reversal of 1170 is 711.

Adding to 1170 its reverse (711), we get a palindrome (1881).

It can be divided in two parts, 11 and 70, that added together give a 4-th power (81 = 3^{4}).

1170 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 1089 + 81 = 33^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

1170 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8.

It is a nialpdrome in base 8, base 11 and base 15.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 96.

2^{1170} is an apocalyptic number.

1170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638).

1170 is an abundant number, since it is smaller than the sum of its proper divisors (2106).

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

1170 is a wasteful number, since it uses less digits than its factorization.

1170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1170 is about 34.2052627530. The cubic root of 1170 is about 10.5372824303.

The spelling of 1170 in words is "one thousand, one hundred seventy", and thus it is an iban number.

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