8283040560 has 300 divisors, whose sum is σ = 30566929008. Its totient is φ = 2078410752.

The previous prime is 8283040547. The next prime is 8283040573. The reversal of 8283040560 is 650403828.

8283040560 is a `hidden beast` number, since 8 + 28 + 30 + 40 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8283040547) and next prime (8283040573).

It is a super-2 number, since 2×8283040560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1870509 + ... + 1874931.

Almost surely, 2^8283040560 is an apocalyptic number.

8283040560 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 8283040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283464504).

8283040560 is an abundant number, since it is smaller than the sum of its proper divisors (22283888448).

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

8283040560 is a wasteful number, since it uses less digits than its factorization.

8283040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8283040560 is about 91011.2111775247. The cubic root of 8283040560 is about 2023.3138886342.

The spelling of 8283040560 in words is "eight billion, two hundred eighty-three million, forty thousand, five hundred sixty".