8487970560 has 432 divisors, whose sum is σ = 31538838240. Its totient is φ = 2183086080.

The previous prime is 8487970553. The next prime is 8487970571. The reversal of 8487970560 is 650797848.

8487970560 is a `hidden beast` number, since 8 + 4 + 8 + 7 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 8487970497 and 8487970506.

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, 9019690 + ... + 9020630.

It is an arithmetic number, because the mean of its divisors is an integer number (73006570).

Almost surely, 2^8487970560 is an apocalyptic number.

8487970560 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 8487970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769419120).

8487970560 is an abundant number, since it is smaller than the sum of its proper divisors (23050867680).

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

8487970560 is an equidigital number, since it uses as much as digits as its factorization.

8487970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8487970560 is about 92130.1826764714. The cubic root of 8487970560 is about 2039.8643508418.

The spelling of 8487970560 in words is "eight billion, four hundred eighty-seven million, nine hundred seventy thousand, five hundred sixty".