8048248640 has 112 divisors (see below), whose sum is σ = 19453951440. Its totient is φ = 3171041280.

The previous prime is 8048248609. The next prime is 8048248661. The reversal of 8048248640 is 468428408.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3282831616 + 4765417024 = 57296^2 + 69032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8048248591 and 8048248600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13128974 + ... + 13129586.

It is an arithmetic number, because the mean of its divisors is an integer number (173695995).

Almost surely, 2^8048248640 is an apocalyptic number.

8048248640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8048248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726975720).

8048248640 is an abundant number, since it is smaller than the sum of its proper divisors (11405702800).

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

8048248640 is a wasteful number, since it uses less digits than its factorization.

8048248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 8048248640 is about 89712.0317460261. The cubic root of 8048248640 is about 2004.0126638801.

The spelling of 8048248640 in words is "eight billion, forty-eight million, two hundred forty-eight thousand, six hundred forty".