648768 has 56 divisors (see below), whose sum is σ = 1788160. Its totient is φ = 207360.

The previous prime is 648763. The next prime is 648779. The reversal of 648768 is 867846.

It is not an unprimeable number, because it can be changed into a prime (648763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5898 + ... + 6006.

2⁶⁴⁸⁷⁶⁸ 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 648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894080).

648768 is an abundant number, since it is smaller than the sum of its proper divisors (1139392).

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

648768 is a wasteful number, since it uses less digits than its factorization.

648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 648768 is about 805.4613584772. The cubic root of 648768 is about 86.5691473780.

It can be divided in two parts, 6487 and 68, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 648768 in words is "six hundred forty-eight thousand, seven hundred sixty-eight".