181867968 has 42 divisors (see below), whose sum is σ = 521293344. Its totient is φ = 60622464.

The previous prime is 181867967. The next prime is 181867993. The reversal of 181867968 is 869768181.

181867968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181867967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157296 + ... + 158447.

Almost surely, 2^181867968 is an apocalyptic number.

181867968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

181867968 is an abundant number, since it is smaller than the sum of its proper divisors (339425376).

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

181867968 is a wasteful number, since it uses less digits than its factorization.

181867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315761 (or 315748 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 181867968 is about 13485.8432439355. The cubic root of 181867968 is about 566.5680388134.

The spelling of 181867968 in words is "one hundred eighty-one million, eight hundred sixty-seven thousand, nine hundred sixty-eight".