648312 has 64 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 173568.

The previous prime is 648293. The next prime is 648317. The reversal of 648312 is 213846.

It is a happy number.

648312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×648312³ = 817473034233321984, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648317) by changing a digit.

648312 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 15 ways as a sum of consecutive naturals, for example, 2743 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁶⁴⁸³¹² 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 648312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

648312 is an abundant number, since it is smaller than the sum of its proper divisors (1321608).

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

648312 is a wasteful number, since it uses less digits than its factorization.

648312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 648312 is about 805.1782411367. The cubic root of 648312 is about 86.5488603192.

The spelling of 648312 in words is "six hundred forty-eight thousand, three hundred twelve".