8032090248 has 640 divisors, whose sum is σ = 29857766400. Its totient is φ = 1958432256.

The previous prime is 8032090243. The next prime is 8032090279. The reversal of 8032090248 is 8420902308.

8032090248 is a `hidden beast` number, since 8 + 0 + 320 + 90 + 248 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8032090243) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75066211 + ... + 75066317.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 2^8032090248 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 8032090248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928883200).

8032090248 is an abundant number, since it is smaller than the sum of its proper divisors (21825676152).

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

8032090248 is a wasteful number, since it uses less digits than its factorization.

8032090248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8032090248 is about 89621.9295038887. The cubic root of 8032090248 is about 2002.6706196414.

The spelling of 8032090248 in words is "eight billion, thirty-two million, ninety thousand, two hundred forty-eight".