181488960 has 336 divisors, whose sum is σ = 674004240. Its totient is φ = 44728320.

The previous prime is 181488953. The next prime is 181488977. The reversal of 181488960 is 69884181.

181488960 is a `hidden beast` number, since 1 + 81 + 488 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9144576 + 172344384 = 3024^2 + 13128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3424294 + ... + 3424346.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965).

Almost surely, 2^181488960 is an apocalyptic number.

181488960 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 181488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337002120).

181488960 is an abundant number, since it is smaller than the sum of its proper divisors (492515280).

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

181488960 is a wasteful number, since it uses less digits than its factorization.

181488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 181488960 is about 13471.7838462469. The cubic root of 181488960 is about 566.1741941998.

The spelling of 181488960 in words is "one hundred eighty-one million, four hundred eighty-eight thousand, nine hundred sixty".