675104 has 36 divisors (see below), whose sum is σ = 1431234. Its totient is φ = 313344.

The previous prime is 675097. The next prime is 675109. The reversal of 675104 is 401576.

It can be written as a sum of positive squares in 3 ways, for example, as 672400 + 2704 = 820^2 + 52^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 675104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 675104.

It is not an unprimeable number, because it can be changed into a prime (675109) 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 5 ways as a sum of consecutive naturals, for example, 9212 + ... + 9284.

2⁶⁷⁵¹⁰⁴ 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 675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715617).

675104 is an abundant number, since it is smaller than the sum of its proper divisors (756130).

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

675104 is a wasteful number, since it uses less digits than its factorization.

675104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 675104 is about 821.6471262044. The cubic root of 675104 is about 87.7250370683.

The spelling of 675104 in words is "six hundred seventy-five thousand, one hundred four".