675808576 has 112 divisors (see below), whose sum is σ = 1451701440. Its totient is φ = 311521280.

The previous prime is 675808543. The next prime is 675808579.

675808576 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675808579) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6315915 + ... + 6316021.

It is an arithmetic number, because the mean of its divisors is an integer number (12961620).

Almost surely, 2^675808576 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 675808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725850720).

675808576 is an abundant number, since it is smaller than the sum of its proper divisors (775892864).

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

675808576 is a wasteful number, since it uses less digits than its factorization.

675808576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The square root of 675808576 is about 25996.3185085889. The cubic root of 675808576 is about 877.5554469662. Note that the first 3 decimals are identical.

The spelling of 675808576 in words is "six hundred seventy-five million, eight hundred eight thousand, five hundred seventy-six".