1176 has 24 divisors (see below), whose sum is σ = 3420. Its totient is φ = 336.

The previous prime is 1171. The next prime is 1181. The reversal of 1176 is 6711.

1176 divided by its product of digits (42) gives a triangular number (28 = T_{7}).

Adding to 1176 its reverse (6711), we get a palindrome (7887).

1176 = T_{13} + T_{14} + ... +
T_{20}.

1176 is nontrivially palindromic in base 13.

1176 is a nontrivial binomial coefficient, being equal to C(49, 2).

It is an interprime number because it is at equal distance from previous prime (1171) and next prime (1181).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

1176 is an undulating number in base 13.

It is a nialpdrome in base 7, base 12 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 165 + ... + 171.

1176 is the 48-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710).

1176 is an abundant number, since it is smaller than the sum of its proper divisors (2244).

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

1176 is a wasteful number, since it uses less digits than its factorization.

1176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 12 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 1176 is about 34.2928563990. The cubic root of 1176 is about 10.5552641758. Note that the first 3 decimals are identical.

The spelling of 1176 in words is "one thousand, one hundred seventy-six".

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