181968000 has 256 divisors, whose sum is σ = 641571840. Its totient is φ = 45465600.

The previous prime is 181967971. The next prime is 181968029. The reversal of 181968000 is 869181.

It is an interprime number because it is at equal distance from previous prime (181967971) and next prime (181968029).

It is a super-2 number, since 2×181968000² = 66224706048000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815889 + ... + 816111.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^181968000 is an apocalyptic number.

181968000 is a gapful number since it is divisible by the number (10) 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 181968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

181968000 is an abundant number, since it is smaller than the sum of its proper divisors (459603840).

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

181968000 is a wasteful number, since it uses less digits than its factorization.

181968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

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

The square root of 181968000 is about 13489.5515121890. The cubic root of 181968000 is about 566.6718953766.

The spelling of 181968000 in words is "one hundred eighty-one million, nine hundred sixty-eight thousand".