8671306560 has 336 divisors, whose sum is σ = 32180076864. Its totient is φ = 1972518912.

The previous prime is 8671306549. The next prime is 8671306571. The reversal of 8671306560 is 656031768.

It is an interprime number because it is at equal distance from previous prime (8671306549) and next prime (8671306571).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15852207 + ... + 15852753.

Almost surely, 2^8671306560 is an apocalyptic number.

8671306560 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 8671306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090038432).

8671306560 is an abundant number, since it is smaller than the sum of its proper divisors (23508770304).

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

8671306560 is a wasteful number, since it uses less digits than its factorization.

8671306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 8671306560 is about 93119.8505153439. The cubic root of 8671306560 is about 2054.4465497114.

The spelling of 8671306560 in words is "eight billion, six hundred seventy-one million, three hundred six thousand, five hundred sixty".