181968 has 40 divisors (see below), whose sum is σ = 499968. Its totient is φ = 56832.

The previous prime is 181967. The next prime is 181981. The reversal of 181968 is 869181.

It is a super-2 number, since 2×181968² = 66224706048, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705 + ... + 927.

2¹⁸¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

181968 is an abundant number, since it is smaller than the sum of its proper divisors (318000).

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

181968 is a wasteful number, since it uses less digits than its factorization.

181968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 181968 is about 426.5770739269. The cubic root of 181968 is about 56.6671895377.

The spelling of 181968 in words is "one hundred eighty-one thousand, nine hundred sixty-eight".