8290740960 has 192 divisors, whose sum is σ = 29802427200. Its totient is φ = 2151069696.

The previous prime is 8290740949. The next prime is 8290740971. The reversal of 8290740960 is 690470928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8290740949) and next prime (8290740971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 133906 + ... + 185774.

It is an arithmetic number, because the mean of its divisors is an integer number (155220975).

Almost surely, 2^8290740960 is an apocalyptic number.

8290740960 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 8290740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901213600).

8290740960 is an abundant number, since it is smaller than the sum of its proper divisors (21511686240).

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

8290740960 is a wasteful number, since it uses less digits than its factorization.

8290740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51930 (or 51916 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8290740960 is about 91053.5060280492. The cubic root of 8290740960 is about 2023.9406914980.

The spelling of 8290740960 in words is "eight billion, two hundred ninety million, seven hundred forty thousand, nine hundred sixty".