675882144 has 168 divisors, whose sum is σ = 2280610080. Its totient is φ = 193062528.

The previous prime is 675882143. The next prime is 675882167. The reversal of 675882144 is 441288576.

675882144 is a `hidden beast` number, since 6 + 7 + 588 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 675882144.

It is not an unprimeable number, because it can be changed into a prime (675882143) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 161227 + ... + 165365.

It is an arithmetic number, because the mean of its divisors is an integer number (13575060).

Almost surely, 2^675882144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140305040).

675882144 is an abundant number, since it is smaller than the sum of its proper divisors (1604727936).

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

675882144 is an equidigital number, since it uses as much as digits as its factorization.

675882144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4151 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 675882144 is about 25997.7334396674. The cubic root of 675882144 is about 877.5872891470.

The spelling of 675882144 in words is "six hundred seventy-five million, eight hundred eighty-two thousand, one hundred forty-four".