675200 has 48 divisors (see below), whose sum is σ = 1675860. Its totient is φ = 268800.

The previous prime is 675197. The next prime is 675221. The reversal of 675200 is 2576.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3095 + ... + 3305.

2⁶⁷⁵²⁰⁰ 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 675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837930).

675200 is an abundant number, since it is smaller than the sum of its proper divisors (1000660).

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

675200 is a wasteful number, since it uses less digits than its factorization.

675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 675200 is about 821.7055433670. The cubic root of 675200 is about 87.7291950471.

Adding to 675200 its reverse (2576), we get a palindrome (677776).

The spelling of 675200 in words is "six hundred seventy-five thousand, two hundred".