181320768 has 168 divisors, whose sum is σ = 549188640. Its totient is φ = 59304960.

The previous prime is 181320739. The next prime is 181320773. The reversal of 181320768 is 867023181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1384063 + ... + 1384193.

It is an arithmetic number, because the mean of its divisors is an integer number (3268980).

Almost surely, 2^181320768 is an apocalyptic number.

181320768 is a gapful number since it is divisible by the number (18) 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 181320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274594320).

181320768 is an abundant number, since it is smaller than the sum of its proper divisors (367867872).

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

181320768 is an equidigital number, since it uses as much as digits as its factorization.

181320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 181320768 is about 13465.5400188778. The cubic root of 181320768 is about 565.9992425084. Note that the first 3 decimals are identical.

The spelling of 181320768 in words is "one hundred eighty-one million, three hundred twenty thousand, seven hundred sixty-eight".