648800 has 36 divisors (see below), whose sum is σ = 1585836. Its totient is φ = 259200.

The previous prime is 648779. The next prime is 648803. The reversal of 648800 is 8846.

It is a self number, because there is not a number n which added to its sum of digits gives 648800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648803) by changing a digit.

648800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (44051).

2⁶⁴⁸⁸⁰⁰ 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 648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792918).

648800 is an abundant number, since it is smaller than the sum of its proper divisors (937036).

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

648800 is a wasteful number, since it uses less digits than its factorization.

648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 648800 is about 805.4812226241. The cubic root of 648800 is about 86.5705706742.

It can be divided in two parts, 648 and 800, that multiplied together give a square (518400 = 720²).

The spelling of 648800 in words is "six hundred forty-eight thousand, eight hundred".