181064960 has 144 divisors (see below), whose sum is σ = 470864016. Its totient is φ = 66453504.

The previous prime is 181064957. The next prime is 181065007. The reversal of 181064960 is 69460181.

It can be written as a sum of positive squares in 8 ways, for example, as 1290496 + 179774464 = 1136^2 + 13408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 181064960.

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 15 ways as a sum of consecutive naturals, for example, 1153202 + ... + 1153358.

It is an arithmetic number, because the mean of its divisors is an integer number (3269889).

Almost surely, 2^181064960 is an apocalyptic number.

181064960 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 181064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235432008).

181064960 is an abundant number, since it is smaller than the sum of its proper divisors (289799056).

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

181064960 is a wasteful number, since it uses less digits than its factorization.

181064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 181064960 is about 13456.0380498867. The cubic root of 181064960 is about 565.7329459740.

The spelling of 181064960 in words is "one hundred eighty-one million, sixty-four thousand, nine hundred sixty".