8386882560 has 704 divisors, whose sum is σ = 34806205440. Its totient is φ = 1899085824.

The previous prime is 8386882531. The next prime is 8386882573. The reversal of 8386882560 is 652886838.

8386882560 is a `hidden beast` number, since 8 + 386 + 8 + 8 + 256 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8386882497 and 8386882506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78382027 + ... + 78382133.

Almost surely, 2^8386882560 is an apocalyptic number.

8386882560 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 8386882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403102720).

8386882560 is an abundant number, since it is smaller than the sum of its proper divisors (26419322880).

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

8386882560 is an equidigital number, since it uses as much as digits as its factorization.

8386882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 8386882560 is about 91579.9244376190. The cubic root of 8386882560 is about 2031.7340259889.

The spelling of 8386882560 in words is "eight billion, three hundred eighty-six million, eight hundred eighty-two thousand, five hundred sixty".