648448 has 36 divisors (see below), whose sum is σ = 1379700. Its totient is φ = 303104.

The previous prime is 648437. The next prime is 648449. The reversal of 648448 is 844846.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 369664 = 528^2 + 608^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648449) 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 3 ways as a sum of consecutive naturals, for example, 4278 + ... + 4426.

It is an arithmetic number, because the mean of its divisors is an integer number (38325).

2⁶⁴⁸⁴⁴⁸ is an apocalyptic number.

648448 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689850).

648448 is an abundant number, since it is smaller than the sum of its proper divisors (731252).

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

648448 is a wasteful number, since it uses less digits than its factorization.

648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 648448 is about 805.2626900583. The cubic root of 648448 is about 86.5549118408.

The spelling of 648448 in words is "six hundred forty-eight thousand, four hundred forty-eight".