648180 has 72 divisors (see below), whose sum is σ = 2125032. Its totient is φ = 158976.

The previous prime is 648173. The next prime is 648181. The reversal of 648180 is 81846.

648180 is a `hidden beast` number, since 648 + 18 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 646416 = 42^2 + 804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648181) by changing a digit.

648180 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 23 ways as a sum of consecutive naturals, for example, 2202 + ... + 2478.

2⁶⁴⁸¹⁸⁰ is an apocalyptic number.

648180 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 648180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062516).

648180 is an abundant number, since it is smaller than the sum of its proper divisors (1476852).

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

648180 is a wasteful number, since it uses less digits than its factorization.

648180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 648180 is about 805.0962675358. The cubic root of 648180 is about 86.5429859743.

It can be divided in two parts, 6481 and 80, that added together give a 8-th power (6561 = 3⁸).

The spelling of 648180 in words is "six hundred forty-eight thousand, one hundred eighty".