310648 has 32 divisors (see below), whose sum is σ = 655200. Its totient is φ = 137088.

The previous prime is 310643. The next prime is 310663. The reversal of 310648 is 846013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310643) by changing a digit.

310648 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2965 + ... + 3067.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2³¹⁰⁶⁴⁸ 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 310648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

310648 is an abundant number, since it is smaller than the sum of its proper divisors (344552).

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

310648 is a wasteful number, since it uses less digits than its factorization.

310648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 310648 is about 557.3580536782. The cubic root of 310648 is about 67.7261186782.

The spelling of 310648 in words is "three hundred ten thousand, six hundred forty-eight".