675865600 has 132 divisors (see below), whose sum is σ = 1775019204. Its totient is φ = 254279680.

The previous prime is 675865579. The next prime is 675865601. The reversal of 675865600 is 6568576.

It can be written as a sum of positive squares in 6 ways, for example, as 33547264 + 642318336 = 5792^2 + 25344^2 .

It is not an unprimeable number, because it can be changed into a prime (675865601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434424 + ... + 435976.

Almost surely, 2^675865600 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 675865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887509602).

675865600 is an abundant number, since it is smaller than the sum of its proper divisors (1099153604).

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

675865600 is a wasteful number, since it uses less digits than its factorization.

675865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 675865600 is about 25997.4152561365. The cubic root of 675865600 is about 877.5801286666.

The spelling of 675865600 in words is "six hundred seventy-five million, eight hundred sixty-five thousand, six hundred".