181696 has 28 divisors (see below), whose sum is σ = 384048. Its totient is φ = 84992.

The previous prime is 181693. The next prime is 181711. The reversal of 181696 is 696181.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1005 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2¹⁸¹⁶⁹⁶ is an apocalyptic number.

181696 is a gapful number since it is divisible by the number (16) 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 181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024).

181696 is an abundant number, since it is smaller than the sum of its proper divisors (202352).

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

181696 is a wasteful number, since it uses less digits than its factorization.

181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 181696 is about 426.2581377522. The cubic root of 181696 is about 56.6389406848.

The spelling of 181696 in words is "one hundred eighty-one thousand, six hundred ninety-six".