181968120 has 192 divisors, whose sum is σ = 622833120. Its totient is φ = 47775744.

The previous prime is 181968113. The next prime is 181968173. The reversal of 181968120 is 21869181.

It is a super-2 number, since 2×181968120² = 66224793392668800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942744 + ... + 942936.

Almost surely, 2^181968120 is an apocalyptic number.

181968120 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 181968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311416560).

181968120 is an abundant number, since it is smaller than the sum of its proper divisors (440865000).

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

181968120 is a wasteful number, since it uses less digits than its factorization.

181968120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 181968120 is about 13489.5559600752. Note that the first 3 decimals coincide. The cubic root of 181968120 is about 566.6720199417.

The spelling of 181968120 in words is "one hundred eighty-one million, nine hundred sixty-eight thousand, one hundred twenty".