8270041248 has 144 divisors (see below), whose sum is σ = 28059212160. Its totient is φ = 2362856832.

The previous prime is 8270041201. The next prime is 8270041261. The reversal of 8270041248 is 8421400728.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55336 + ... + 140007.

It is an arithmetic number, because the mean of its divisors is an integer number (194855640).

Almost surely, 2^8270041248 is an apocalyptic number.

It is an amenable number.

8270041248 is an abundant number, since it is smaller than the sum of its proper divisors (19789170912).

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

8270041248 is a wasteful number, since it uses less digits than its factorization.

8270041248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195376 (or 195355 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8270041248 is about 90939.7671428732. The cubic root of 8270041248 is about 2022.2548789817.

The spelling of 8270041248 in words is "eight billion, two hundred seventy million, forty-one thousand, two hundred forty-eight".