248608 has 24 divisors (see below), whose sum is σ = 519372. Its totient is φ = 116736.

The previous prime is 248597. The next prime is 248609. The reversal of 248608 is 806842.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 29584 = 468^2 + 172^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (248609) by changing a digit.

248608 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 3 ways as a sum of consecutive naturals, for example, 316 + ... + 772.

2²⁴⁸⁶⁰⁸ 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 248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259686).

248608 is an abundant number, since it is smaller than the sum of its proper divisors (270764).

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

248608 is a wasteful number, since it uses less digits than its factorization.

248608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 248608 is about 498.6060569227. The cubic root of 248608 is about 62.8789141428.

The spelling of 248608 in words is "two hundred forty-eight thousand, six hundred eight".