8442180 has 36 divisors (see below), whose sum is σ = 25608492. Its totient is φ = 2251200.

The previous prime is 8442167. The next prime is 8442221. The reversal of 8442180 is 812448.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 2566404 = 2424^2 + 1602^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23271 + ... + 23630.

It is an arithmetic number, because the mean of its divisors is an integer number (711347).

Almost surely, 2^8442180 is an apocalyptic number.

It is an amenable number.

8442180 is an abundant number, since it is smaller than the sum of its proper divisors (17166312).

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

8442180 is a wasteful number, since it uses less digits than its factorization.

8442180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46916 (or 46911 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8442180 is about 2905.5429785154. The cubic root of 8442180 is about 203.6189542118.

The spelling of 8442180 in words is "eight million, four hundred forty-two thousand, one hundred eighty".