176 has 10 divisors (see below), whose sum is σ = 372. Its totient is φ = 80.

The previous prime is 173. The next prime is 179. The reversal of 176 is 671.

It is a happy number.

176 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (173) and next prime (179).

It is a cake number, because a cake can be divided into 176 parts by 10 planar cuts.

It is a partition number, being equal to the number of ways a set of 15 identical objects can be partitioned into subset.

176 is a nontrivial repdigit in base 15.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 14, base 15 and base 16.

It is a zygodrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 176.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11 + ... + 21.

176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

176 is the 11-th pentagonal number and also the 8-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186).

176 is an abundant number, since it is smaller than the sum of its proper divisors (196).

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

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

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

The sum of its prime factors is 19 (or 13 counting only the distinct ones).

The product of its digits is 42, while the sum is 14.

The square root of 176 is about 13.2664991614. The cubic root of 176 is about 5.6040786613.

The spelling of 176 in words is "one hundred seventy-six", and is thus an aban number.

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