647200 has 36 divisors (see below), whose sum is σ = 1581930. Its totient is φ = 258560.

The previous prime is 647189. The next prime is 647201. The reversal of 647200 is 2746.

It can be written as a sum of positive squares in 3 ways, for example, as 583696 + 63504 = 764^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (647201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 396 + ... + 1204.

2⁶⁴⁷²⁰⁰ 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 647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790965).

647200 is an abundant number, since it is smaller than the sum of its proper divisors (934730).

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

647200 is a wasteful number, since it uses less digits than its factorization.

647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 647200 is about 804.4874144448. The cubic root of 647200 is about 86.4993484531.

Adding to 647200 its reverse (2746), we get a palindrome (649946).

The spelling of 647200 in words is "six hundred forty-seven thousand, two hundred".