648200 has 48 divisors (see below), whose sum is σ = 1726080. Its totient is φ = 221760.

The previous prime is 648199. The next prime is 648211. The reversal of 648200 is 2846.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648200.

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 11 ways as a sum of consecutive naturals, for example, 1169 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (35960).

2⁶⁴⁸²⁰⁰ 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 648200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863040).

648200 is an abundant number, since it is smaller than the sum of its proper divisors (1077880).

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

648200 is a wasteful number, since it uses less digits than its factorization.

648200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 648200 is about 805.1086883148. The cubic root of 648200 is about 86.5438760778.

It can be divided in two parts, 648 and 200, that multiplied together give a square (129600 = 360²).

The spelling of 648200 in words is "six hundred forty-eight thousand, two hundred".