8514579060 has 576 divisors, whose sum is σ = 31282917120. Its totient is φ = 1925959680.

The previous prime is 8514579053. The next prime is 8514579089. The reversal of 8514579060 is 609754158.

8514579060 is a `hidden beast` number, since 8 + 5 + 14 + 579 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8514578997 and 8514579015.

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 191 ways as a sum of consecutive naturals, for example, 49217134 + ... + 49217306.

It is an arithmetic number, because the mean of its divisors is an integer number (54310620).

Almost surely, 2^8514579060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8514579060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641458560).

8514579060 is an abundant number, since it is smaller than the sum of its proper divisors (22768338060).

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

8514579060 is a wasteful number, since it uses less digits than its factorization.

8514579060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 8514579060 is about 92274.4767527836. The cubic root of 8514579060 is about 2041.9936824367.

The spelling of 8514579060 in words is "eight billion, five hundred fourteen million, five hundred seventy-nine thousand, sixty".