648120 has 64 divisors (see below), whose sum is σ = 2125440. Its totient is φ = 156800.

The previous prime is 648119. The next prime is 648133. The reversal of 648120 is 21846.

648120 = T₃₇₅ + T₃₇₆ + ... + T₃₈₃.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (33210).

2⁶⁴⁸¹²⁰ is an apocalyptic number.

648120 is a gapful number since it is divisible by the number (60) 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 648120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062720).

648120 is an abundant number, since it is smaller than the sum of its proper divisors (1477320).

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

648120 is a wasteful number, since it uses less digits than its factorization.

648120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 648120 is about 805.0590040488. The cubic root of 648120 is about 86.5403155538.

Adding to 648120 its reverse (21846), we get a palindrome (669966).

The spelling of 648120 in words is "six hundred forty-eight thousand, one hundred twenty".