648980 has 24 divisors (see below), whose sum is σ = 1401288. Its totient is φ = 252288.

The previous prime is 648971. The next prime is 648997. The reversal of 648980 is 89846.

648980 = T₅₀₇ + T₅₀₈ + ... + T₅₁₁.

648980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 293764 + 355216 = 542^2 + 596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 648980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (58387).

2⁶⁴⁸⁹⁸⁰ 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 648980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700644).

648980 is an abundant number, since it is smaller than the sum of its proper divisors (752308).

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

648980 is a wasteful number, since it uses less digits than its factorization.

648980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 648980 is about 805.5929493237. The cubic root of 648980 is about 86.5785758437.

The spelling of 648980 in words is "six hundred forty-eight thousand, nine hundred eighty".