181067040 has 576 divisors, whose sum is σ = 815173632. Its totient is φ = 35481600.

The previous prime is 181066997. The next prime is 181067041. The reversal of 181067040 is 40760181.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 181066995 and 181067013.

It is not an unprimeable number, because it can be changed into a prime (181067041) 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 95 ways as a sum of consecutive naturals, for example, 2550205 + ... + 2550275.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^181067040 is an apocalyptic number.

181067040 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 181067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816).

181067040 is an abundant number, since it is smaller than the sum of its proper divisors (634106592).

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

181067040 is a wasteful number, since it uses less digits than its factorization.

181067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 181067040 is about 13456.1153383880. The cubic root of 181067040 is about 565.7351122684.

The spelling of 181067040 in words is "one hundred eighty-one million, sixty-seven thousand, forty".