8248090761 has 15 divisors (see below), whose sum is σ = 12322443133. Its totient is φ = 5498182260.

The previous prime is 8248090717. The next prime is 8248090769. The reversal of 8248090761 is 1670908428.

The square root of 8248090761 is 90819.

It is a perfect power (a square), and thus also a powerful number.

8248090761 is a `hidden beast` number, since 82 + 480 + 90 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 8248090761 - 2⁷ = 8248090633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8248090769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 812326 + ... + 822416.

Almost surely, 2^8248090761 is an apocalyptic number.

8248090761 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8248090761 is the 90819-th square number.

8248090761 is the 45410-th centered octagonal number.

It is an amenable number.

8248090761 is a deficient number, since it is larger than the sum of its proper divisors (4074352372).

8248090761 is an frugal number, since it uses more digits than its factorization.

8248090761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The cubic root of 8248090761 is about 2020.4641256984.

The spelling of 8248090761 in words is "eight billion, two hundred forty-eight million, ninety thousand, seven hundred sixty-one".