648288 has 36 divisors (see below), whose sum is σ = 1844388. Its totient is φ = 216000.

The previous prime is 648283. The next prime is 648289. The reversal of 648288 is 882846.

648288 is a `hidden beast` number, since 648 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648283) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 838 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (51233).

2⁶⁴⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

648288 is an abundant number, since it is smaller than the sum of its proper divisors (1196100).

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

648288 is a wasteful number, since it uses less digits than its factorization.

648288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2256 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 648288 is about 805.1633374664. The cubic root of 648288 is about 86.5477923158.

It can be divided in two parts, 648 and 288, that multiplied together give a square (186624 = 432²).

The spelling of 648288 in words is "six hundred forty-eight thousand, two hundred eighty-eight".