248688648 has 96 divisors (see below), whose sum is σ = 768058200. Its totient is φ = 72013824.

The previous prime is 248688641. The next prime is 248688677. The reversal of 248688648 is 846886842.

It can be written as a sum of positive squares in 4 ways, for example, as 247684644 + 1004004 = 15738^2 + 1002^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 248688594 and 248688603.

It is not an unprimeable number, because it can be changed into a prime (248688641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8098 + ... + 23726.

Almost surely, 2^248688648 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 248688648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384029100).

248688648 is an abundant number, since it is smaller than the sum of its proper divisors (519369552).

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

248688648 is a wasteful number, since it uses less digits than its factorization.

With its successor (248688649) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (15671).

248688648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15664 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 248688648 is about 15769.8651864878. The cubic root of 248688648 is about 628.8571267757.

The spelling of 248688648 in words is "two hundred forty-eight million, six hundred eighty-eight thousand, six hundred forty-eight".