8293995360 has 576 divisors, whose sum is σ = 35451561600. Its totient is φ = 1721696256.

The previous prime is 8293995337. The next prime is 8293995383. The reversal of 8293995360 is 635993928.

It is an interprime number because it is at equal distance from previous prime (8293995337) and next prime (8293995383).

It is a junction number, because it is equal to n+sod(n) for n = 8293995297 and 8293995306.

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 95 ways as a sum of consecutive naturals, for example, 4968606 + ... + 4970274.

It is an arithmetic number, because the mean of its divisors is an integer number (61547850).

Almost surely, 2^8293995360 is an apocalyptic number.

8293995360 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 8293995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725780800).

8293995360 is an abundant number, since it is smaller than the sum of its proper divisors (27157566240).

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

8293995360 is a wasteful number, since it uses less digits than its factorization.

8293995360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 8293995360 is about 91071.3750856986. The cubic root of 8293995360 is about 2024.2054788863.

The spelling of 8293995360 in words is "eight billion, two hundred ninety-three million, nine hundred ninety-five thousand, three hundred sixty".